Identify Inequality and Goal: Identify the inequality and the goal. We want to solve for x in the inequality 4x + 4 ≤ 9x + 8.Subtract x Terms: Subtract 4x from both sides to get all x terms on one side. 4x + 4 - 4x ≤ 9x + 8 - 4x This simplifies to: 4 ≤ 5x + 8Isolate Term with x: Subtract 8 from both sides to isolate the term with x. 4 - 8 ≤ 5x + 8 - 8 This simplifies to: -4 ≤ 5xDivide to Solve for x: Divide both sides by 5 to solve for x. -4/5 ≤ x This gives us the solution set for the inequality.

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$4x+4\leq9x+8$

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4x+4\leq9x+8

Identify Inequality and Goal: Identify the inequality and the goal. $\newline$ We want to solve for $x$ in the inequality $4x + 4 \leq 9x + 8$ .
Subtract $x$ Terms: Subtract $4x$ from both sides to get all $x$ terms on one side. $\newline$ $4x + 4 - 4x \leq 9x + 8 - 4x$ $\newline$ This simplifies to: $\newline$ $4 \leq 5x + 8$
Isolate Term with x: Subtract $8$ from both sides to isolate the term with $x$ . $\newline$ $4 - 8 \leq 5x + 8 - 8$ $\newline$ This simplifies to: $\newline$ $-4 \leq 5x$
Divide to Solve for $x$ : Divide both sides by $5$ to solve for $x$ . $\newline$ $-\frac{4}{5} \leq x$ $\newline$ This gives us the solution set for the inequality.