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Numerical Inequalities · Question 46 of 79

Question 46

MediumOriginal question

Solve x2−5x+6<0x^{2} - 5x + 6 < 0.

Options for question 46

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. x2−5x+6=(x−2)(x−3)x^{2} - 5x + 6 = (x - 2)(x - 3), which is negative when the two factors have opposite signs.

  2. That happens between the roots: 2<x<32 < x < 3.

Worth noting

'x<2x < 2 or x>3x > 3' is where the quadratic is positive.

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.