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Solve for jj.\newline-2 < j + 13 \leq 10\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A) -15 < j < -3\newline(B) 15j3-15 \leq j \leq -3\newline(C) -15 < j \leq -3\newline(D) -15 \leq j < -3

Full solution

Q. Solve for jj.\newline2<j+1310-2 < j + 13 \leq 10\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A) 15<j<3-15 < j < -3\newline(B) 15j3-15 \leq j \leq -3\newline(C) 15<j3-15 < j \leq -3\newline(D) 15j<3-15 \leq j < -3
  1. Simplify Inequality: Now, we simplify each part of the inequality.\newline-15 < j \leq -3
  2. Check Solution: We check our solution to make sure it makes sense.\newlineIf we take a number between 15-15 and 3-3, say 10-10, and plug it back into the original inequality, we get:\newline-2 < -10 + 13 \leq 10\newline-2 < 3 \leq 10\newlineThis is true, so our solution seems correct.

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