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Solve for $b$ . $\newline$ $18 \geq b + 14 > 1$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $4 \geq b > -13$ $\newline$ (B) $4 \geq b \geq -13$ $\newline$ (C) $4 > b \geq -13$ $\newline$ (D) $4 > b > -13$

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Solve compound inequalities

Full solution

Q. Solve for

b

.

\newline

18 \geq b + 14 > 1

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

4 \geq b > -13

\newline

(B)

4 \geq b \geq -13

\newline

(C)

4 > b \geq -13

\newline

(D)

4 > b > -13

Analyze Compound Inequality: Analyze the given compound inequality. $\newline$ The inequality $18 \geq b + 14 > 1$ consists of two parts: $18 \geq b + 14$ and $b + 14 > 1$ . We need to isolate $b$ in both parts of the inequality.
Subtract to Isolate $b$ : Subtract $14$ from all parts of the inequality to isolate $b$ . $18 - 14 \geq b + 14 - 14 > 1 - 14$ $4 \geq b > -13$
Write Final Compound Inequality: Write the final answer as a compound inequality. $\newline$ The inequality $4 \geq b > -13$ is the solution to the given problem. We need to match this with the given choices.

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