Solve for t. -9|t| > -18 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: -9|t| > -18 First, we divide both sides by -9 to isolate |t|. Remember that dividing by a negative number reverses the inequality sign. -9|t| / -9 < -18 / -9 |t| < 2Interpret Absolute Value Inequality: Now we interpret the absolute value inequality |t| < 2. This means that t must be greater than -2 and less than 2. So the compound inequality is -2 < t < 2.

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Solve for $t$ . $\newline$ -9|t| > -18 $\newline$ 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

t

\newline

-9|t| > -18

\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: $\newline$ -9|t| > -18 $\newline$ First, we divide both sides by $-9$ to isolate $|t|$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ -9|t| / -9 < -18 / -9 $\newline$ |t| < 2
Interpret Absolute Value Inequality: Now we interpret the absolute value inequality |t| < 2. $\newline$ This means that $t$ must be greater than $-2$ and less than $2$ . $\newline$ So the compound inequality is -2 < t < 2.