Find the range of values of x for which x + 2 < 3x - 8 ≤ 2x + 1

JAMB Mathematics 2024 211 views
Source: JAMB · 2024

Find the range of values of x for which x + 2 < 3x - 8 ≤ 2x + 1

  1. -5 < x ≤ 9
  2. 5 < x ≤ 9 ✓
  3. -9 < x ≤ 5
  4. x < 5 and x ≤ 9
Explanation

Split the double inequality into two parts and solve each.

x + 2 < 3x − 8 gives 10 < 2x, so x > 5.

3x − 8 ≤ 2x + 1 gives x ≤ 9.

Both must be true, so 5 < x ≤ 9.

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