Question

Choose the correct solution and graph for the inequality.
-y/2 less than or equal to 3

Answer 1

To solve the inequality, we need to multiply both sides by -2 to eliminate the fraction and change the direction of the inequality:
-2(-y/2) >= -2(3)
This simplifies to:
y >= -6

The solution to the inequality is y is greater than or equal to -6.

To graph the solution, we draw a number line and plot a closed circle at -6 to represent the "greater than or equal to" part. Then we draw an arrow to the right to show that all values greater than -6 are also solutions.

Here is the graph:
-6--->----------------------->