Question

solve for x and graph the solution on the number line below.
21 < 3x + 9 < 33
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Subtract 9 from all parts

Subtract 9 from \(21\), \(3x + 9\), and \(33\).
\(21-9<3x + 9-9<33 - 9\)
\(12<3x<24\)

Step2: Divide all parts by 3

Divide \(12\), \(3x\), and \(24\) by 3.
\(\frac{12}{3}<\frac{3x}{3}<\frac{24}{3}\)
\(4 < x<8\)

Answer:

Inequality Notation: \(4 < x<8\)

To graph on the number - line: Place open circles at \(x = 4\) and \(x = 8\) (because the inequalities are strict, i.e., \(<\) not \(\leq\)) and draw a line segment connecting these two open circles.