Algebra-1

To determine which number cannot be a value for x, we need to solve the compound inequality and then check which of the given numbers satisfies the solution.

 

Solve the first inequality 4x + 9 ≥ -11:

4x + 9 ≥ -11

4x + 9 - 9 ≥ -11 - 9 (subtract 9 from both sides)

4x ≥ -20

4x/4 ≥ -20/4 (divide both sides by 4)

x ≥ -5

 

Solve the second inequality x - 5 < 4:

x - 5 < 4

x - 5 + 5 < 4 + 5 (add 5 to both sides)

x < 9