For which values of x is x² - 4x - 5 > 0?
Correct answer: C. x < -1 or x > 5
- A. -1 < x < 5
- B. x ≤ -1 or x ≥ 5
- C. x < -1 or x > 5
- D. -5 < x < 1
Explanation
The expression factors as (x - 5)(x + 1). Since the parabola opens upward, it is positive outside the roots, giving x < -1 or x > 5.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? support@testustad.com
Practise Linear and Quadratic Equations and Inequalities
30 free Linear and Quadratic Equations and Inequalities MCQs from Quantitative Methods, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Quantitative Methods questions like this
Quantitative Methods is on this paper prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for it.
More Linear and Quadratic Equations and Inequalities questions
Solve the equation (x + 1)/(x - 2) = 3, where x ≠ 2.
If x² + kx + 9 = 0 has equal roots and k is positive, what is k?
Solve the quadratic inequality (x - 2)(x + 1) ≤ 0.
Solve the equation 4(2x - 3) = 3(x + 2) + 5.
If 3x + 2y = 12 and x - y = 1, what is the value of y?
What are the roots of the quadratic equation 2x² - 7x + 3 = 0?