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 2 years ago
7y  17 > 11
Part 1: Solve the inequality above.
Part 2: Describe the graph of the solution.
 2 years ago
7y  17 > 11 Part 1: Solve the inequality above. Part 2: Describe the graph of the solution.

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srossd
 2 years ago
Best ResponseYou've already chosen the best response.2To solve this, first you have to separate variables and constants. To do that, add 17 to both sides: 7y > 28 Now, isolate the variable by dividing both sides by 7. Remember when you multiply or divide by a negative number, the greater than changes to a less than. So, the solution is: y < 4 The graph of this will be a number line with an open circle on 4, and everything to the left of 4 shaded, like this:dw:1356664453181:dw

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@srossd thank you so much! can you help me with another

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.02x + 1 5 or 3x > 9 Part 1: Solve the inequality above. Part 2: Describe the graph of the solution.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Looks like the symbol didn't print  it was probably >= or <=. Can you tell me which one?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Great, thanks. So here's how to simplify them:dw:1356665108128:dw Remember, on the second one, the greater than sign switches because I divided by a negative.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2And same to you, tell me if you have trouble reading.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Here's the graph:dw:1356665170251:dw Remember, open circle for plain old less/greater than, closed circle for "or equal to".

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0can you write the answer please?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Yeah, sure. x >= 2 or x < 3. And good thing I did that, turns out I did the graph for "and"  for "or," it's just the whole number line shaded.

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0okay and can you write out part 2 please @srossd

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Yeah, it's not much more complicated than what I said: the graph of the two inequalities will be the entire number line shaded, since every number is either >= 2 or < 3.

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@srossd THANKS SO MUCH! can you help me with some more?

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@srossd Which of the following inequalities matches the graph? (see attached photo) A y < x + 3 B x + 3 C y x + 3 D The correct inequality is not listed.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Well, to graph an inequality, first you graph the line you would get from changing the < or > to an =. Can you see what the line is?

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@srossd dw:1356666088705:dw

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@srossd dw:1356666151160:dw

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Alright, so what's the line, first?

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@srossd would it be 2

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Well, you're looking for the equation of a line  you need more than a number. First of all, what's the slope (that is just a number)?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Oh, maybe I should be doing this @ilovenyc

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@srossd yeah i suck at algebra lol

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2No, I mean doing the @ilovenyc thing, but I'll help with the line too. It passes through the points (2, 0) and (0, 3). The formula for slope is \[\frac{y_2y_1}{x_2x_1} = \frac{30}{0(2)} = \frac{3}{2}\] so the slope is 3/2. The yintercept is 3, so the equation is y=3/2x+3. So now you're down to A and B  can you see which one it is?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2(not a rhetorical question, tell me if you need help)

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Right, good job! (and I actually meant you had it down to B and C, hopefully you figured that out). Got any more problems I can help with?

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@srossd yeah i was wondering how could A, be the right answer lol, and yes i have more just like the one we just did.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Alright, lets see how much of this one you can do on your own. I'll be here to help, though.

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0Which of the following inequalities matches the graph? (see attached photo) A y 3x  5 B y < 3x  5 C y < x  5 D The correct inequality is not listed.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Alright, so find the equation of the line first.

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0A) dw:1356667093569:dw

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2@ilovenyc So first, what's the slope of the line?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2@ilovenyc What do you mean?

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@srossd i think that is the slope of the line, i am not sure i told you i suck at alegbra

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Don't worry, you'll get better with practice. Here's quick tutorial on finding slopes of lines: say you have a line. You can find the slope by picking two points, call them (x1,y1) and (x2,y2). Then you plug those numbers in to this formula: \[\frac{y_2y_1}{x_2x_1}\] So, in the last problem, I used the points (2,0) and (0,3), and got 3/2. Another way to think about it is \[\frac{\textrm{rise}}{\textrm{run}}\] choose two points. The line goes up by some value (when it goes down, the value is negative), and it goes to the right by some value. Divide the two for slope. So, this can be your first practice: choose two points from the line dividing the shaded section and unshaded section, and find the slope. Tell me if you need help.

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0@srossd find the slope from the graph?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Right, use the graph to see which points are on the line.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Well, 6 and 0 aren't points, they're just numbers. A point is something like (0,0) or (5,3). So, what points lie on that line? Just name any 2.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Actually, that point doesn't lie on the line, but (4,7) does. Can you see why?dw:1356668074766:dw

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Great. So (4,7) is a point  can you find another?

ilovenyc
 2 years ago
Best ResponseYou've already chosen the best response.0out of the graph? @srossd

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Right, another point that lies on the line. Here http://assets.openstudy.com/updates/attachments/50dd0e0ae4b069916c86157filovenyc135666703485711.png, not my sketch of it.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2And don't click that link, the comma messes it up.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2@ilovenyc have you figured it out?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Not quite  go over 2 on the x axis, and then go up until you hit the line. What y value are you at?dw:1356668572509:dw

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2@ilovenyc No, it's (2,1)  was that a typo, or are you still confused?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Oh good, so you've got it now. So you have points (2,1) and (4,7). Here's the formula for slope again: \[\frac{y_2y_1}{x_2x_1}\] Can you try to apply it to those points?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Here's a hint: x_1 = 2, x_2 = 4, y_1 = 1, y_2 = 7.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.2Oh, and I should do the little message thing: @ilovenyc
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