Find the range of values of x for which 2x\(^2\) + 7x - 15 ≥
FURTHER MATHEMATICS
WAEC 2022
Find the range of values of x for which 2x\(^2\) + 7x - 15 ≥ 0.
- A. x ? -5 or x ? \(\frac{3}{2}\)
- B. x ? -5 or x ?\(\frac{3}{2}\)
- C. -5 ? x ? \(\frac{3}{5}\)
- D. \(\frac{3}{5}\) ? x ? -5
Correct Answer: A. x ? -5 or x ? \(\frac{3}{2}\)
Explanation
2x\(^2\) + 7x - 15 ≥ 0
2x\(^2\) -3x + 10x - 15 ≥ 0
x(2x - 3) + 5(2x - 3) ≥ 0
(x+5)(2x-3) ≥ 0
the points on x-axis where the graph ≥ 0
x ≤ -5 or x ≥ \(\frac{3}{2}\)
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