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Numerical Inequalities · Question 53 of 79

Question 53

MediumOriginal question

Solve x2−4x−5>0x^{2} - 4x - 5 > 0.

Options for question 53

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. x2−4x−5=(x+1)(x−5)x^{2} - 4x - 5 = (x + 1)(x - 5), with roots −1-1 and 5.

  2. An upward parabola is positive outside its roots: x<−1x < -1 or x>5x > 5.

Worth noting

−1<x<5-1 < x < 5 is where the expression is negative.

Concept
A quadratic inequation
Typical time
90 s
Your time
—
The rule this testsSolving inequations
Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.

Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.