Question:
$-7 / 2$ lies between $-3$ and $-4 .$
Solution:
True.
Express each of the given rational numbers with 2 as the common denominator. Now.
$-3 / 1=[(-3 \times 2) /(1 \times 2)]=(-6 / 2)$
$-4 / 1=[(-4 \times 2) /(1 \times 2)]=(-8 / 2)$
Then,
$-8 / 2>-7 / 2>-6 / 2$
$-4>-7 / 2>-3$
So, $-7 / 2$ is lies between $-3$ and $-4$.