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Chapter 1: Q56. (page 46)

If , 5<a<7<b<14then which of the following best defines ab.?

a.57<ab<12 B. 514<ab<12 C. 57<ab<1 D. 514<ab<1

Short Answer

Expert verified

The statement that best defines abis 514<ab<1.Therefore the option D is correct.

Step by step solution

01

­- Description of step.

It is given that 5<a<7<b<14.

Therefore, it can be obtained that:

15>1a>17>1b>114

As 5<a, therefore it can be obtained that:

514<a14

As, 114<1b, therefore it can be obtained that:

114<1ba14<ab

As, 514<a14and a14<ab, therefore it can be obtained that:

514<a14<ab鈬�514<ab

Therefore, it is obtained that 514<ab.

02

­- Description of step.

As a<7, therefore it can be obtained that:

ab<7b

As, 1b<17, therefore it can be obtained that:

7b<777b<1

As, ab<7band 7b<1, therefore it can be obtained that:

ab<7b<1鈬�ab<1

Therefore, it is obtained that ab<1.

03

­- Description of step.

As, ab<1 and 514<ab, therefore it can be written as:

514<ab<1

The statement that best defines ab is 514<ab<1.

Therefore the option D is correct.

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