Solve for j. -15 > j - 19 ≥ -16 Write your answer as a compound inequality with integers. Choices: (A)j > 4 or j j > 3 (C)4 > j ≥ 3 (D)j > 4 or j ≤ 3

Analyze Inequality: Analyze the compound inequality -15 > j - 19 ≥ -16. Which operation should we use to isolate j? In j - 19, 19 is being subtracted from j. Addition should be used to isolate j.Use Addition to Isolate: Add 19 to all parts of the compound inequality to isolate j. -15 > j - 19 ≥ -16 -15 + 19 > j - 19 + 19 ≥ -16 + 19 4 > j ≥ 3Add 19 to Isolate: Write the final answer as a compound inequality with integers. The inequality 4 > j ≥ 3 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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-15 > j - 19 \geq -16

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

j > 4

j < 3

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(B)

4 > j > 3

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(C)

4 > j \geq 3

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(D)

j > 4

j \leq 3

Analyze Inequality: Analyze the compound inequality -15 > j - 19 \geq -16. Which operation should we use to isolate $j$ ? In $j - 19$ , $19$ is being subtracted from $j$ . Addition should be used to isolate $j$ .
Use Addition to Isolate: Add $19$ to all parts of the compound inequality to isolate $j$ . $\newline$ -15 > j - 19 \geq -16 $\newline$ -15 + 19 > j - 19 + 19 \geq -16 + 19 $\newline$ 4 > j \geq 3
Add $19$ to Isolate: Write the final answer as a compound inequality with integers. $\newline$ The inequality 4 > j \geq 3 matches one of the given choices.