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Numerical Inequalities · Question 49 of 79

Question 49

MediumOriginal question

Which real numbers satisfy both x+3<2x + 3 < 2 and 2x>42x > 4?

Options for question 49

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. The first gives x<−1x < -1 and the second x>2x > 2.

  2. No number is both below −1-1 and above 2: the system has no solution.

Worth noting

−1<x<2-1 < x < 2 is the gap between the two, where neither holds.

Concept
A system with no solution
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.