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Solve for mm. \newlinem + 3 > -4 or m+2≤−12m + 2 \leq -12\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A)m > -1 or m≤−14m \leq -14\newline(B)m > -7 or m≤−10m \leq -10\newline(C)m > -1 or m≤−10m \leq -10\newline(D)m > -7 or m≤−14m \leq -14

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Q. Solve for mm. \newlinem+3>−4m + 3 > -4 or m+2≤−12m + 2 \leq -12\newlineWrite your answer as a compound inequality with integers.\newlineChoices:\newline(A)m>−1m > -1 or m≤−14m \leq -14\newline(B)m>−7m > -7 or m≤−10m \leq -10\newline(C)m>−1m > -1 or m≤−10m \leq -10\newline(D)m>−7m > -7 or m≤−14m \leq -14
  1. Solve First Inequality: First, let's solve the inequality m + 3 > -4. Subtract 33 from both sides to isolate mm. m + 3 - 3 > -4 - 3 m > -7
  2. Solve Second Inequality: Now, let's solve the inequality m+2≤−12m + 2 \leq -12. Subtract 22 from both sides to isolate mm. m+2−2≤−12−2m + 2 - 2 \leq -12 - 2 m≤−14m \leq -14
  3. Combine Solutions: Combine the two solutions into a compound inequality.\newlineThe solutions are m > -7 or m≤−14m \leq -14.
  4. Compare with Choices: Now, let's compare the compound inequality with the given choices.\newlineThe correct answer is (D) m > -7 \text{ or } m \leq -14.

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