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

Analyze Compound Inequality: Analyze the given compound inequality. The inequality 18 ≥ b + 14 > 1 consists of two parts: 18 ≥ 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 ≥ b + 14 - 14 > 1 - 14 4 ≥ b > -13Write Final Compound Inequality: Write the final answer as a compound inequality. The inequality 4 ≥ b > -13 is the solution to the given problem. We need to match this with the given choices.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

b

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18 \geq b + 14 > 1

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

4 \geq b > -13

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(B)

4 \geq b \geq -13

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(C)

4 > b \geq -13

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(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 - 144 \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.