Tell whether the following statement is true or false:

$13$ and $− 3 2$ lie on opposite sides of 0 on the number line.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given a statement

13

and

− 3 2

lie on opposite sides of 0 on the number line.

13

don’t have a negative sign.
Therefore, it lies on right side of 0 on the number line.

− 3 2

have a negative sign.
We know that the numbers which lie on the left side of 0 on the number line are negative numbers and the numbers which lie on the right side of zero are positive numbers.
Therefore, it lies on the left side of 0 on the number line.
Since both rational numbers lie on the opposite side of zero.
Given statement is true
Therefore, option 1 is correct.

Watch 3-min video & get full concept clarity