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Numerical Inequalities · Question 57 of 79

Question 57

HardOriginal question

Solve ∣3x−4∣>5\lvert 3x - 4 \rvert > 5.

Options for question 57

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. ∣u∣>5\lvert u \rvert > 5 means u<−5u < -5 or u>5u > 5.

  2. 3x−4<−53x - 4 < -5 gives x<−13x < -\frac{1}{3}; 3x−4>53x - 4 > 5 gives x>3x > 3.

Worth noting

−13<x<3-\frac{1}{3} < x < 3 is the solution of ∣3x−4∣<5\lvert 3x - 4 \rvert < 5, the opposite inequality.

Concept
A modulus inequation with greater than
Typical time
120 s
Your time
—
The rule this testsSolving inequations
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Ten questions from Numerical Inequalities, at your own pace.

Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.