Question

solve for x and graph the solution on the number line below. 16 < 3x + 7 ≤ 25 answer attempt 1 out of 2 inequality notation: number line:

Explanation:

Step1: Subtract 7 from all parts

Subtract 7 from \(16<3x + 7\leq25\). We get \(16-7<3x+7 - 7\leq25 - 7\), which simplifies to \(9<3x\leq18\).

Step2: Divide all parts by 3

Divide each part of \(9<3x\leq18\) by 3. We have \(\frac{9}{3}<\frac{3x}{3}\leq\frac{18}{3}\), resulting in \(3 < x\leq6\).

Answer:

Inequality Notation: \(3 < x\leq6\)
Number - Line: On the number line, there is an open - circle at 3 (since \(x>3\)) and a closed - circle at 6 (since \(x\leq6\)), and the line is shaded between 3 and 6.