Solve for n. 8 > n + 6 ≥ 7 Write your answer as a compound inequality with integers. Choices: (A)2 > n ≥ 1 (B)2 > n > 1 (C)2 ≥ n ≥ 1 (D)2 ≥ n > 1

Analyze Inequality: Analyze the compound inequality 8 > n + 6 ≥ 7. Which operation should we use to isolate n? In n + 6, 6 is being added to n. Subtraction should be used to isolate n.Subtract 6: Subtract 6 from all parts of the inequality 8 > n + 6 ≥ 7. 8 - 6 > n + 6 - 6 ≥ 7 - 6 2 > n ≥ 1Write Final Answer: Write the final answer as a compound inequality with integers. The inequality 2 > n ≥ 1 matches one of the given choices.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

n

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8 > n + 6 \geq 7

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

2 > n \geq 1

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(B)

2 > n > 1

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(C)

2 \geq n \geq 1

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(D)

2 \geq n > 1

Analyze Inequality: Analyze the compound inequality 8 > n + 6 \geq 7. Which operation should we use to isolate $n$ ? In $n + 6$ , $6$ is being added to $n$ . Subtraction should be used to isolate $n$ .
Subtract $6$ : Subtract $6$ from all parts of the inequality 8 > n + 6 \geq 7. $\newline$ 8 - 6 > n + 6 - 6 \geq 7 - 6 $\newline$ 2 > n \geq 1
Write Final Answer: Write the final answer as a compound inequality with integers. $\newline$ The inequality 2 > n \geq 1 matches one of the given choices.