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Numerical Inequalities · Question 3 of 79

Question 3

EasyOriginal question

2<x<52 < x < 5 and 1<y<31 < y < 3. Which describes xyxy?

Options for question 3

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. All four ends are positive, so the inequalities may be multiplied.

  2. 2×1<xy<5×32 \times 1 < xy < 5 \times 3, that is 2<xy<152 < xy < 15.

Worth noting

3<xy<83 < xy < 8 adds the ends instead of multiplying them.

Concept
Multiplying inequalities
Typical time
60 s
Your time
—
The rule this testsThe laws of inequality
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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.