Answer:
Step-by-step explanation:
[tex]|4x - 7|[/tex] ≤ [tex]9[/tex]
With this, we can construct two inequalities:
[tex]4x - 7[/tex] ≤ [tex]9[/tex]
[tex]4x - 7[/tex] ≥ [tex]-9[/tex]
Solving for each one will give us the answer:
[tex]4x - 7[/tex] ≤ [tex]9[/tex]
[tex]4x[/tex] ≤ [tex]16[/tex]
[tex]x[/tex] ≤ [tex]4[/tex]
[tex]4x - 7[/tex] ≥ [tex]-9[/tex]
[tex]4x[/tex] ≥ [tex]-2[/tex]
[tex]x[/tex] ≥ [tex]\frac{-1}{2}[/tex]
This give us the following range:
[tex]\frac{-1}{2}[/tex] ≤ [tex]x[/tex] ≤ [tex]4[/tex]
