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Numerical Inequalities · Question 8 of 79

Question 8

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

Options for question 8

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. I: inequalities in the same direction can be added. True.

  2. II: 5>15 > 1 and 4>04 > 0, but 5−4=15 - 4 = 1 is not more than 1−0=11 - 0 = 1. They cannot be subtracted. False.

Concept
Adding and subtracting 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.