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Numerical Inequalities · Question 11 of 79

Question 11

MediumOriginal question

Read the two statements and choose the correct option.

I. If a>ba > b and c>dc > d, then a−c>b−da - c > b - d.

II. If a>b>0a > b > 0 and c>d>0c > d > 0, then ac>bdac > bd.

Options for question 11

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. I is false: 5>45 > 4 and 10>110 > 1, but 5−10=−55 - 10 = -5 is less than 4−1=34 - 1 = 3. Inequalities may be added, not subtracted.

  2. II is true: ac>bc>bdac > bc > bd, since all the numbers are positive.

Concept
Adding, subtracting and multiplying inequalities
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.