Match the inequality to its graph.

A. less than or equal to -1
B. less than 3
C. less than 1
D. less than or equal to -3

7. 4y + 3 *less than or equal to* y+6

8. -2y > 2

9. y over 3 < -1

10. 3y *less than or equal to* 2y +

steve aint the brightest now is he

15

To match the inequalities to their graphs, we need to solve each inequality and interpret the solutions graphically. Let's go through each inequality one by one.

7. 4y + 3 ≤ y + 6
First, let's isolate y by subtracting y from both sides: 4y - y + 3 ≤ 6
This simplifies to: 3y + 3 ≤ 6
Next, subtract 3 from both sides: 3y ≤ 3
Finally, divide by 3 to solve for y: y ≤ 1/3

The graph for y ≤ 1/3 would include all numbers less than or equal to 1/3. This would be a solid line on a number line starting from 1/3 and extending towards negative infinity.

8. -2y > 2
To solve this inequality, we divide both sides by -2. When dividing by a negative number, we have to reverse the inequality sign. Doing so, we get: y < -1

The graph for y < -1 would include all numbers less than -1. This would be an open circle on the number line at -1, and the line would extend towards negative infinity.

9. y/3 < -1
Let's multiply both sides by 3 to get rid of the fraction: 3 * y/3 < -1 * 3
This simplifies to: y < -3

The graph for y < -3 would include all numbers less than -3. This would be an open circle on the number line at -3, and the line would extend towards negative infinity.

10. 3y ≤ 2y +
To solve this inequality, let's subtract 2y from both sides: 3y - 2y ≤ 0
This simplifies to: y ≤ 0

The graph for y ≤ 0 would include all numbers less than or equal to 0. This would be a solid line on the number line starting from 0 and extending towards negative infinity.

To match the inequality to its graph:
- A. less than or equal to -1 corresponds to graph 8 (y < -1)
- B. less than 3 corresponds to graph 10 (y ≤ 0)
- C. less than 1 corresponds to graph 7 (y ≤ 1/3)
- D. less than or equal to -3 corresponds to graph 9 (y < -3)

still no graphs here, babe...