Solve for w. |w| - 9 ≥ -4 Write a compound inequality like 1 3. Use integers, proper fractions, or improper fractions in simplest form. ______

Isolate absolute value term: We have the inequality: |w| - 9 ≥ -4 First, we need to isolate the absolute value term |w| on one side of the inequality.Add 9 to isolate: Add 9 to both sides of the inequality to isolate |w|: |w| - 9 + 9 ≥ -4 + 9 |w| ≥ 5Absolute value inequality: Now we have the absolute value inequality |w| ≥ 5. This means that w is either greater than or equal to 5 or less than or equal to -5.Split into two inequalities: We can split the absolute value inequality into two separate inequalities: w ≥ 5 or w ≤ -5 This is the compound inequality that represents the solution to the original problem.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $w$ . $\newline$ $|w| - 9 \geq -4$

View step-by-step help

Home

Math Problems

Algebra 1

Solve absolute value inequalities

Full solution

Q. Solve for

w

\newline

|w| - 9 \geq -4

Isolate absolute value term: We have the inequality: $\newline$ $|w| - 9 \geq -4$ $\newline$ First, we need to isolate the absolute value term $|w|$ on one side of the inequality.
Add $9$ to isolate: Add $9$ to both sides of the inequality to isolate $|w|$ : $|w| - 9 + 9 \geq -4 + 9$ $|w| \geq 5$
Absolute value inequality: Now we have the absolute value inequality $|w| \geq 5$ . This means that $w$ is either greater than or equal to $5$ or less than or equal to $-5$ .
Split into two inequalities: We can split the absolute value inequality into two separate inequalities: $\newline$ $w \geq 5$ or $w \leq -5$ $\newline$ This is the compound inequality that represents the solution to the original problem.