Find all values of x satisfying the inequality \( -11 \le 4 - 3x \le 28 \)

Assessment: JAMB UTME - Mathematics - 1992 Subject: General Mathematics

Question 1 Report

Find all values of x satisfying the inequality \( -11 \le 4 - 3x \le 28 \)

Answer Details
To solve the inequality -11 ≤ 4 - 3x ≤ 28, we need to isolate x in the middle of the inequality. First, we subtract 4 from all parts of the inequality: -15 ≤ -3x ≤ 24. Then, we divide by -3, remembering to flip the direction of the inequality signs when dividing by a negative number: 5 ≥ x ≥ -8. Therefore, the correct option is -8 ≤ x ≤ 5.

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