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Numerical Inequalities · Question 9 of 79

Question 9

MediumOriginal question

Assertion (A): If −2x>6-2x > 6, then x<−3x < -3.

Reason (R): Dividing both sides of an inequality by a negative number reverses its direction.

Options for question 9

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Dividing by −2-2 turns >> into <<: x<6−2=−3x < \frac{6}{-2} = -3. A is true.

  2. R is the rule used, so R explains A.

Concept
Dividing by a negative number
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.