which number line represents the solution of 4x - 9 ≥ -21?

Answer 1

To find the solution of the inequality 4x - 9 ≥ -21, we can start by isolating the variable x.

Adding 9 to both sides of the inequality, we get:
4x ≥ -21 + 9
4x ≥ -12

Next, we can divide both sides of the inequality by 4:
4x/4 ≥ -12/4
x ≥ -3

So, the solution to the inequality is x ≥ -3.

To represent this solution on a number line, we draw a closed circle at -3 and shade the region to the right of -3.

The number line representing the solution x ≥ -3 would look like this:

<--------●==============>
-3