Solve for s. -3|s| ≥ -15 Write a compound inequality like 1 3. Use integers, proper fractions, or improper fractions in simplest form. ______

Divide and Reverse Inequality: We have the inequality: -3|s| ≥ -15 First, we divide both sides by -3 to isolate |s|. Remember that dividing by a negative number reverses the inequality sign. -3|s| / -3 ≤ -15 / -3 |s| ≤ 5Interpret Absolute Value Inequality: Now we interpret the absolute value inequality |s| ≤ 5. This means that s is less than or equal to 5 and greater than or equal to -5. So the compound inequality is -5 ≤ s ≤ 5.

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Solve for $s$ . $\newline$ $-3|s| \geq -15$ $\newline$ Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper fractions, or improper fractions in simplest form. $\newline$ ______

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Algebra 1

Solve absolute value inequalities

Full solution

Q. Solve for

s

\newline

-3|s| \geq -15

\newline

Write a compound inequality like

1 < x < 3

or like

x < 1

x > 3

. Use integers, proper fractions, or improper fractions in simplest form.

\newline

______

Divide and Reverse Inequality: We have the inequality: $\newline$ $-3|s| \geq -15$ $\newline$ First, we divide both sides by $-3$ to isolate $|s|$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ $-3|s| / -3 \leq -15 / -3$ $\newline$ $|s| \leq 5$
Interpret Absolute Value Inequality: Now we interpret the absolute value inequality $|s| \leq 5$ . This means that $s$ is less than or equal to $5$ and greater than or equal to $-5$ . So the compound inequality is $-5 \leq s \leq 5$ .