Question

solve for x and graph the solution on the number line below. 13 < -5x + 8 < 23 answer attempt 1 out of 3 < > ≤ ≥ or inequality notation: number line: click and drag to plot line. submit answer

Explanation:

Step1: Subtract 8 from all parts

$$13 - 8 < -5x+8 - 8 < 23 - 8$$
$$5 < -5x < 15$$

Step2: Divide all parts by -5 (and reverse inequalities)

When dividing by a negative number, the inequality signs reverse.
$$\frac{5}{-5}>x>\frac{15}{-5}$$
$$- 1>x>-3$$

Answer:

Inequality Notation: \(-3 < x < -1\)

To graph on the number line: Place open circles at \(-3\) and \(-1\) (since the inequalities are strict, i.e., \( <\) not \(\leq\)) and draw a line segment connecting the two open - circles.