Question

solve the inequality.
4(2x + 3) ≥ 36
x ≥ ?

Explanation:

Step1: Divide both sides by 4

To isolate the term with \(x\), we divide both sides of the inequality \(4(2x + 3)\geq36\) by 4.
\(\frac{4(2x + 3)}{4}\geq\frac{36}{4}\)
Simplifying, we get \(2x + 3\geq9\).

Step2: Subtract 3 from both sides

Next, we subtract 3 from both sides of the inequality \(2x + 3\geq9\) to get closer to solving for \(x\).
\(2x+3 - 3\geq9 - 3\)
Simplifying, we have \(2x\geq6\).

Step3: Divide both sides by 2

Finally, we divide both sides of the inequality \(2x\geq6\) by 2 to solve for \(x\).
\(\frac{2x}{2}\geq\frac{6}{2}\)
Simplifying, we find \(x\geq3\).

Answer:

\(3\)