Solve for d. |-3d| > 9 Write a compound inequality like 1 3. Use integers, proper fractions, or improper fractions in simplest form. ______

Given Inequality: We have the inequality: |-3d| > 9 First, we solve for |-3d|. |-3d| > 9 This means that either -3d > 9 or 3d > 9, because the absolute value of a number is greater than 9 if the number itself is either greater than 9 or less than -9.Solving for |-3d|: Now we solve the first part of the inequality: -3d > 9 To isolate d, we divide both sides by -3. Remember that dividing by a negative number reverses the inequality sign. -3d / -3 9: Next, we solve the second part of the inequality: 3d > 9 Again, we isolate d by dividing both sides by 3. 3d / 3 > 9 / 3 d > 3Solving 3d > 9: Combining both parts of the inequality, we get the compound inequality: d 3 This is the solution to the inequality |-3d| > 9.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $d$ . $\newline$ |-3d| > 9 $\newline$ 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. $\newline$ ______

View step-by-step help

Home

Math Problems

Algebra 2

Solve absolute value inequalities

Full solution

Q. Solve for

d

\newline

|-3d| > 9

\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

______

Given Inequality: We have the inequality: $\newline$ |-3d| > 9 $\newline$ First, we solve for $|-3d|$ . $\newline$ |-3d| > 9 $\newline$ This means that either -3d > 9 or 3d > 9, because the absolute value of a number is greater than $9$ if the number itself is either greater than $9$ or less than $-9$ .
Solving for $|-3d|$ : Now we solve the first part of the inequality: $\newline$ -3d > 9 $\newline$ To isolate $d$ , we divide both sides by $-3$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ \frac{-3d}{-3} < \frac{9}{-3} $\newline$ d < -3
Solving -3d > 9: Next, we solve the second part of the inequality: $\newline$ 3d > 9 $\newline$ Again, we isolate $d$ by dividing both sides by $3$ . $\newline$ \frac{3d}{3} > \frac{9}{3} $\newline$ d > 3
Solving 3d > 9: Combining both parts of the inequality, we get the compound inequality: $\newline$ d < -3 or d > 3 $\newline$ This is the solution to the inequality |-3d| > 9.