4x−9≥−21 ?(1 point) Responses

To graph the inequality 4x - 9 ≥ -21, we can start by solving it as an equation to find the boundary line.

4x - 9 = -21

Adding 9 to both sides gives:

4x = -12

Dividing both sides by 4 gives:

x = -3

So, the boundary line is x = -3, which is a vertical line passing through -3 on the x-axis.

To graph the inequality on a number line, we first locate -3 as a point on the number line. Then, since the inequality is "greater than or equal to," we shade everything to the right of -3 on the number line.

Below is a rough sketch of the number line:

-∞ -5 -4 -3 -2 -1 +∞
-------------------------------------------->
|_______________________|

The shaded region represents the solution to the inequality 4x - 9 ≥ -21.