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It looks like the slope of the line is -1/2 x, and the y-intercept is -4. The shaded region is below this line so that means y is less than -1/2 - 4 If the line was solid instead of dashed it would be y <= -1/2 x - 4 but since it is dashed we just say y < -1/2 x - 4
could you help me with another
Can you identify the slope of this line ?
It's hard to say but it looks like that is a slope of 6x with a y-intercept of 3 So the equation of the line is y = 6x + 3 But since the shaded region is above the line this becomes y > 6x + 3 Rewriting this becomes y - 6x > 3 Then if we multiply both sides by -1 and change the inequality: 6x - y < -3
Which of the following inequalities matches the graph? (see attached photo) A x greater than or equal to -7 B x less than or greater to -7 C y less than or greater to -7 D y greater than or equal to -7
Do you mean "less than or equal to" for B and C?
Ah ok. This line is vertical and crosses x = -7 So it is either x >= -7 or x <= -7. Which one do you think? Notice which side of the line the shaded region is at.
The shaded region is to the left of -7, so that would indicate less than -7. Since the line is solid, it is less than or equal. x <= -7
The dashed line is vertical and passes through 2. The shaded region lies to the right. It is A or D ?
Yes it is :)
The line is solid and horizontal. The shaded region is below 0. What is your choice?
The line is y = 0, but the shaded region is less than or equal to this. So y <= 0
I think based on what you wrote down, it is C. It should be "y is less than or equal to 0"
Which of the following inequalities matches the graph? (see attached photo) A x less than or greater to -1 B x greater than or equal to -1 C y less than or greater to -1 D y greater than or equal to -1
Which one do you think ? The line is y = -1 and it is solid. And the shaded region is above it.
Nope. Remember that any time you see a horizontal line, it's going to be y. If it is a vertical line it's going to be x. The solid line is actually y = -1, and the region shaded is greater than or equal to it. So y >= -1 or D
You will get the hang of it :)
The non-profit organization you volunteer for is throwing a fundraiser cookout. You are in charge of buying the hamburgers, which cost $3 per pound and hotdogs, which cost $2 per pound. The meat budget you are given totals $600. The inequality 3x + 2y less than or greater to 600 represents the possible combinations of pounds of hamburgers (x) and hotdogs (y) you can buy. (see attached photo) Which of the following represents a solution to the inequality? A 200 pounds of hamburgers and 140 pounds of hotdogs B 150 pounds of hamburgers and 60 pounds of hotdogs C 100 pounds of hamburgers and 240 pounds of hotdogs D 240 pounds of hamburgers and 40 pounds of hotdogs
If hamburgers are on the x axis and hotdogs on the y axis, the points become A: (200, 140) B: (150, 60) C: (100, 240) D: (240, 40) Now the question is, which one of these points is either on the line or inside the shaded region?
You too! Happy 2013