Question

Which of the following statements is true?

Question 4 options:

a:0.75 < 0.752


B:|-8| < -3


C:−38<∣∣−0.5∣∣

D−235≥1.5

Answer 1

Explanation:

Let check each option

A. 0.75 < 0.752

Subtract 0.752 from both sides

0.75 - 0.752 < 0.752 - 0.752

-0.002 < 0

This is true, since from number line the negative number are less than the positive number.

B. |-8| < -3

Magnitude of a number means that the number should neglect it's negative value and take on it's positive value.

i.e. |-8| = 8

Then,

8 < -3

False, since positive number are greater than negative numbers, from number line

C. |-38| < |-0.5|

Same as above

38 < 0.5

False, from number line,The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.

So, 38 is greater than 0.5.

D. -235 ≥ 1.5.

False, since positive number are greater than negative numbers, from number line.