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Numerical Inequalities · Question 14 of 79

Question 14

MediumOriginal question

2<x<52 < x < 5 and 1<y<31 < y < 3. Which describes x−yx - y?

Options for question 14

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. −3<−y<−1-3 < -y < -1. Add this to 2<x<52 < x < 5.

  2. 2−3<x−y<5−12 - 3 < x - y < 5 - 1, that is −1<x−y<4-1 < x - y < 4.

Worth noting

1<x−y<21 < x - y < 2 subtracts the ends in order, 2−12 - 1 and 5−35 - 3; the least x−yx - y pairs the least xx with the greatest yy.

Concept
The range of a difference
Typical time
90 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.