Question

solve, $2(x + 7)\geq18$

Explanation:

Step1: Divide both sides by 2

To isolate the expression inside the parentheses, we divide both sides of the inequality \(2(x + 7) \geq 18\) by 2. Since we are dividing by a positive number, the direction of the inequality sign remains the same.

$$ \frac{2(x + 7)}{2} \geq \frac{18}{2} $$

Simplifying both sides, we get:

$$ x + 7 \geq 9 $$

Step2: Subtract 7 from both sides

To solve for \(x\), we subtract 7 from both sides of the inequality \(x + 7 \geq 9\).

$$ x + 7 - 7 \geq 9 - 7 $$

Simplifying both sides, we obtain:

$$ x \geq 2 $$

Answer:

\(x \geq 2\) (or equivalently \(2 \leq x\))