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12. please solve the compound inequality below and graph its solution. …

Question

  1. please solve the compound inequality below and graph its solution.

x + 5 ≤ 4 or -2x < -6
□ or □

Explanation:

Step1: Solve \( x + 5 \leq 4 \)

Subtract 5 from both sides: \( x + 5 - 5 \leq 4 - 5 \)
Simplify: \( x \leq -1 \)

Step2: Solve \( -2x < -6 \)

Divide both sides by -2 (remember to reverse the inequality sign): \( \frac{-2x}{-2} > \frac{-6}{-2} \)
Simplify: \( x > 3 \)

Answer:

\( x \leq -1 \) or \( x > 3 \)