Question

solve for x.
reduce any fractions to lowest terms. dont round your answer, and dont use mixed fractions.
4x + 4 ≤ 9x + 8

Explanation:

Step1: Subtract \(4x\) from both sides

To isolate the variable terms, we subtract \(4x\) from each side of the inequality \(4x + 4 \leq 9x + 8\). This gives us \(4 \leq 5x + 8\).

Step2: Subtract 8 from both sides

Next, we subtract 8 from both sides to get the constant terms on one side. So, \(4 - 8 \leq 5x\), which simplifies to \(-4 \leq 5x\).

Step3: Divide both sides by 5

To solve for \(x\), we divide both sides of the inequality \(-4 \leq 5x\) by 5. This results in \(\frac{-4}{5} \leq x\), or \(x \geq -\frac{4}{5}\).

Answer:

\(x \geq -\frac{4}{5}\)