Find the range of values of x for which 9x - 1 > 14x²

Correct Answer is : 17\;1/771 12\;1/221

Correct Answer is : 17\;1/771 12\;1/221

Test Index

WAEC Further Mathematics 2024 Paper

Question : 21

Total: 40

^2

Solution:

9x - 1 > 14x $^2$

Rearrange the inequality

14x $^2$ - 9x + 1 < 0

14x $^2$ - 7x - 2x + 1 < 0

7x(2x - 1) - 1(2x - 1) < 0

(7x - 1)(2x - 1) < 0

x < $\;\frac{1}{7}$ or $\;\frac{1}{2}$

Final answer is $\;\frac{1}{7}$ < x < $\;\frac{1}{2}$ (after testing)

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