Solve for b. |b| - 7 > -5 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: |b| - 7 > -5 First, we need to isolate the absolute value term |b| on one side of the inequality. To do this, we add 7 to both sides of the inequality. |b| - 7 + 7 > -5 + 7 |b| > 2Solve absolute value inequality: Now we have the absolute value inequality: |b| > 2 This means that b is either greater than 2 or less than -2. We can split this into two separate inequalities: b > 2 or b < -2 This is the compound inequality that represents the solution to the original problem.

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Solve for $b$ . $\newline$ |b| - 7 > -5 $\newline$ 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

b

\newline

|b| - 7 > -5

\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

______

Isolate absolute value term: We have the inequality: $\newline$ |b| - 7 > -5 $\newline$ First, we need to isolate the absolute value term $|b|$ on one side of the inequality. $\newline$ To do this, we add $7$ to both sides of the inequality. $\newline$ |b| - 7 + 7 > -5 + 7 $\newline$ |b| > 2
Solve absolute value inequality: Now we have the absolute value inequality: $\newline$ |b| > 2 $\newline$ This means that $b$ is either greater than $2$ or less than $-2$ . $\newline$ We can split this into two separate inequalities: $\newline$ b > 2 or b < -2 $\newline$ This is the compound inequality that represents the solution to the original problem.