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freemap
 one year ago
Which is the graph of 3y – 5x ≤ –6?
freemap
 one year ago
Which is the graph of 3y – 5x ≤ –6?

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freemap
 one year ago
Best ResponseYou've already chosen the best response.1I think it C the 3rd one

phi
 one year ago
Best ResponseYou've already chosen the best response.2I would add 5x to both sides 3y  5x + 5x <= 5x6 \[ 3y \le 5x 6 \] then divide both sides by 3 \[ y \le \frac{5}{3}x 6 \] the equal part of the \( \le\) means we use a solid line (if it wer \( \lt \) , it would be a dashed line) when x=0, y is 6 so look for a line that goes through (0,6) the slope is 5/3 which means up 5 and over 3 \( y \le stuff \) means we want the y values that are "under" the line an easy way to decide is put in (0,0) into the original equation 3y – 5x ≤ –6 0 <= 6 no. so the side without the origin is the side we want.

phi
 one year ago
Best ResponseYou've already chosen the best response.2after typing all that I see I did not divide correctly it should be \[ y \le \frac{5}{3}x  2 \] so the line goes through (0,2) (not (0,6) as I wrote up above)

phi
 one year ago
Best ResponseYou've already chosen the best response.2remember \( \le\) means solid line. cross off the choices that use dashed lines.

freemap
 one year ago
Best ResponseYou've already chosen the best response.1since the symbol is less than or equal to the line is solid not dashed and since its less than it goes up to that point and all the way to the left thats what I learned

freemap
 one year ago
Best ResponseYou've already chosen the best response.1Thats why I said the 3rd one

phi
 one year ago
Best ResponseYou've already chosen the best response.2now check if the origin is on the true (shaded ) side of the line. 3y – 5x ≤ –6 when we use (0,0) what do we get ?

freemap
 one year ago
Best ResponseYou've already chosen the best response.1this sound like I'm not smart but, do we plug in 0,0 for and y

freemap
 one year ago
Best ResponseYou've already chosen the best response.1ok about to work it out, just a sec

freemap
 one year ago
Best ResponseYou've already chosen the best response.1ok that leads t 35</ 6 or it doesn't The line goes with the symbol don't know how to do line under it.

phi
 one year ago
Best ResponseYou've already chosen the best response.2what you do is replace x with 0 and y with 0 3y – 5x ≤ –6 3*0  5*0 <= 6 ?

phi
 one year ago
Best ResponseYou've already chosen the best response.2then order of operations: first the multiply 3*0=0 5*0 = 0 0  0 <=  6? 0 <= 6 ? true or false?

phi
 one year ago
Best ResponseYou've already chosen the best response.2so (0,0) is on the "wrong side" we shade the "correct side" which in this case is the side that does not have the origin

freemap
 one year ago
Best ResponseYou've already chosen the best response.1Would I always change to symbol when solving inequalities?

phi
 one year ago
Best ResponseYou've already chosen the best response.2can you ask that a different way?

freemap
 one year ago
Best ResponseYou've already chosen the best response.1I noticed that instead of the symbol being less than or equal to its just< now?

phi
 one year ago
Best ResponseYou've already chosen the best response.2I was using <= to show how to type it if you can't type \( \le\)

freemap
 one year ago
Best ResponseYou've already chosen the best response.1oh okay, sorry. I learned something about if you divide change the symbol. making sure it wasn't this sorry

phi
 one year ago
Best ResponseYou've already chosen the best response.2first, can you choose the correct answer? solid line, origin not shaded.

freemap
 one year ago
Best ResponseYou've already chosen the best response.1Thanks so much, I'll apply what you taught me in my other problems, hopefully I'll get them right. Thanks so much

freemap
 one year ago
Best ResponseYou've already chosen the best response.1I see your typing, didn't see that

phi
 one year ago
Best ResponseYou've already chosen the best response.2the "change the symbol" rule happens if you *multiply or divide by a negative number* you can get around that rule by *never* multiplying or dividing by a negative number say you have x < 2 if we multiply both sides by 1 we get 1*x > 1*2 x > 2 (we changed the direction of the sign) but we could do this: add +x to both sides x+x < 2+x 0 < 2 + x now add 2 to both sides 2 < x we get the correct relation , which can also be written x> 2

freemap
 one year ago
Best ResponseYou've already chosen the best response.1okay, Much understood Thinks for clarifying that for me

freemap
 one year ago
Best ResponseYou've already chosen the best response.1Thanks so much, I'll apply what you taught me in my other problems, hopefully I'll get them right. Thanks so much
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