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Numerical Inequalities · Question 15 of 79

Question 15

MediumOriginal question

x>2x > 2 and y<−1y < -1. Which of these must be true?

Options for question 15

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. x>2>0x > 2 > 0 and −y>1>0-y > 1 > 0, so multiplying, −xy>2-xy > 2.

  2. That is xy<−2xy < -2. The others fail for x=3x = 3, y=−5y = -5.

Worth noting

Multiply only inequalities between positive numbers; turn y<−1y < -1 into −y>1-y > 1 first.

Concept
Multiplying inequalities
Typical time
90 s
Your time
—
The rule this testsThe laws of inequality
Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.

Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.