Match the inequality to its graph.

Question

A. number line A

B. number line B

C. number line C

D. number line D
Question
4y + 3 ≤ y + 6
(1 point)
Responses

A
A

B
B

C
C

D
D

Answer 1

To match the inequality to its graph, we first need to solve the inequality:

4y + 3 ≤ y + 6

Subtract y from both sides:
3y + 3 ≤ 6

Subtract 3 from both sides:
3y ≤ 3

Divide both sides by 3:
y ≤ 1

This inequality means that y is less than or equal to 1. On a number line, this would be indicated by a filled dot (or a closed circle) on 1 and shading to the left, since all the numbers to the left of 1 are less than or equal to 1.

The graph matching this description should display the following features:
- A filled dot or closed circle at 1.
- Shading or a line extending to the left of 1, showing that all values less than or equal to 1 satisfy the inequality.

Without the actual images of number lines A, B, C, and D, I can't directly point out which is the correct one. However, if you now look at the number line options provided, you should choose the one that represents "y ≤ 1" as I described. That will be the correct match for the inequality given.