Answer: x ≥ 48
Step-by-step explanation: We can begin by rewriting this expression in numeric form:
[tex]|\frac{1}{4} x \ - \ 3| \ - \ 5 \ \geq \ 4[/tex]
Next, we can add 5 to both sides:
[tex]|\frac{1}{4}x \ - \ 3| \ \geq \ 9[/tex]
Then, we add 3 to both sides:
[tex]|\frac{1}{4} x| \ \geq \ 12[/tex]
Finally, we divide both sides by 1/4:
[tex]x \ = \ 48[/tex]
Therefore, x ≥ 48.
