Question

1 Select the correct answer. Which set of absolute values is compared correctly? OA. 1-101< 1-5] < [17] < 15| OB. 1-5| > |-10]> |-12] > [17| C. |10| > |-15| > 1-51 > 12) D. |-101 < 12< |-15< |17|​

Answer 1

The set of absolute values  | -10 | < | 12 | < | -15 | < | 17 |​ is compared correctly.

The absolute value of a number or integer is the actual distance of the integer from zero, in a number line. Therefore, the absolute value is always a positive value and not a negative number.

It is represented by two vertical lines |a|, which is known as the modulus of a.

Given in the question,

(a) | -10 | < | -5 | < | 17 | < | 5 |

removing modulus ,

10 < 5 < 17 < 5 , which is incorrect

(b) | -5 | > | -10 |> | -12 | > | 17 |

removing modulus ,

5 > 10 > 12 > 17 , which is incorrect

(c) | 10 | > | -15 | > | -5 | > | 12 |

removing modulus ,

10 > 15 > 5 > 12 , which is incorrect

(d)  | -10 | < | 12 | < | -15 | < | 17 |​

removing modulus ,

10 < 12 < 15 < 17, which is correct

Hence , The set  | -10 | < | 12 | < | -15 | < | 17 |​ is compared correctly

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