Question

solve for y and graph the solution.
3 ≥ 4y + 5
click two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or two arrowheads to graph a line. to change endpoints from filled - in circles to empty circles, click on them.

Explanation:

Step1: Analyze the inequality

The inequality given is \( y \leq -3 \). This means we are looking for all values of \( y \) that are less than or equal to -3.

Step2: Graph the solution

On a number line, we represent \( y \leq -3 \) by placing a filled - in circle at \( y=-3 \) (because the inequality includes equality, \( y = - 3\) is part of the solution) and drawing an arrow to the left of -3 (since we want all values less than -3 as well). Looking at the given number line, the point - 3 is marked, and we would shade or draw the arrow from -3 (with a filled circle) towards the left (towards more negative numbers like -4, -5, etc.).

Answer:

\( y \leq -3 \)