Question

Which of the following statements is not true based on the given graph?

(said graph is attached below)

A. a ≤ b
B. c > 0
C. |b| = c
D. -a = c

Answer 1

statements is not true

D. -a = c

-a should be equal d, not c

Answer 2

The statement which is false i.e. not true based on the given graph is:

Option: D

D. -a=c

Explanation:

We know that when a number lie to the right of 0 then it is positive and when it lie to the left of 0 then it is negative.

Also, any number lying to the left of some number is always smaller.

A.

Here a lie to the left of b.

Hence, we have: a ≤ b

B.

Also c lie to the right of 0.

Hence, we have: c>0

C.

The points b and c are present at a equal distance from 0.

This means that:

|b|=|c|

Since c is a positive number, we have: |c|=c

Hence,

|b|=c

D.

The points a and c are not located at equal distance from 0.

Hence, we can't say:

-a=c

Hence, the answer is: Option: D