Solve for j. 7 > j - 12 > -7 Write your answer as a compound inequality with integers. Choices: (A)19 > j ≥ 5 (B)j > 19 or j ≤ 5 (C)19 > j > 5 (D)j > 19 or j < 5

Analyze Compound Inequality: Analyze the given compound inequality 7 > j - 12 > -7. Which operation should we use to isolate j? In j - 12, 12 is being subtracted from j. Addition should be used to isolate j.Use Addition to Isolate j: Add 12 to all three parts of the inequality to isolate j. 7 > j - 12 > -7 7 + 12 > j - 12 + 12 > -7 + 12 19 > j > 5Add 12 to Isolate j: Write the final answer as a compound inequality with integers. The inequality 19 > j > 5 can be rewritten as 19 > j and j > 5. This matches one of the given choices.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

j

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7 > j - 12 > -7

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

19 > j \geq 5

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(B)

j > 19

j \leq 5

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(C)

19 > j > 5

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(D)

j > 19

j < 5

Analyze Compound Inequality: Analyze the given compound inequality 7 > j - 12 > -7. Which operation should we use to isolate $j$ ? In $j - 12$ , $12$ is being subtracted from $j$ . Addition should be used to isolate $j$ .
Use Addition to Isolate $j$ : Add $12$ to all three parts of the inequality to isolate $j$ . $\newline$ 7 > j - 12 > -7 $\newline$ 7 + 12 > j - 12 + 12 > -7 + 12 $\newline$ 19 > j > 5
Add $12$ to Isolate $j$ : Write the final answer as a compound inequality with integers. $\newline$ The inequality 19 > j > 5 can be rewritten as 19 > j and j > 5. $\newline$ This matches one of the given choices.