Answer: [tex]\bold{x\geq -\dfrac{4}{5}}[/tex]
Step-by-step explanation:
4x + 4 ≤ 9x + 8
4 ≤ 5x + 8 subtracted 4x from both sides
-4 ≤ 5x subtracted 8 from both sides
[tex]-\dfrac{4}{5}\leq x[/tex] divided 5 from both sides
[tex]x\geq -\dfrac{4}{5}[/tex] swapped sides (which flipped the inequality symbol)