Create a number line that represents the solution of 4x - 9 is equal to or more than -21

1 answer

Starting with the equation 4x - 9 ≥ -21:

Add 9 to both sides to isolate x:
4x ≥ -12

Divide by 4 to solve for x:
x ≥ -3

Therefore, the solution to the inequality is x is equal to or greater than -3.

Representing this on a number line with -3 as a filled in circle (since it is included in the solution):

-3 ----> (-2) ----> (-1) ----> 0 ----> 1 ----> 2 ----> 3 ----> 4 ----> ...