Match the inequality to its graph. A. B. C. D. Question 3y ≤ 2y + 3

Answer 1

We need to examine the inequality 3y ≤ 2y + 3. To graph this inequality, we first need to isolate y on one side of the inequality sign.

Subtracting 2y from both sides, we get:
3y - 2y ≤ 2y + 3 - 2y
Simplifying this, we have:
y ≤ 3

Now, let's analyze each graph option:

A. No inequality graph provided.
B. No inequality graph provided.
C. No inequality graph provided.
D.

Graph D is a horizontal line at y = 3, which represents the inequality y ≤ 3. This means that any point on or below this line satisfies the inequality 3y ≤ 2y + 3.

Therefore, the correct match is inequality 3y ≤ 2y + 3 with graph D.