Question

Fill in the blanks with $>,<$or $=$ sign.

$(-21)-(-10)\_\_\_\_\_\_(-31)+(-11)$

Answer 1

Solve the given expression

Given: $(-21)-(-10)\_\_\_\_\_\_(-31)+(-11)$

$$\begin{gathered} \mathrm{L}.\mathrm{H}.\mathrm{S}=(-21)-(-10) \\ =-21+10 \\ =-11 \\ \therefore \mathrm{L}.\mathrm{H}.\mathrm{S}=-11 \\ \mathrm{R}.\mathrm{H}.\mathrm{S}=(-31)+(-11) \\ =-31-11 \\ =-42 \\ \therefore \mathrm{R}.\mathrm{H}.\mathrm{S}=-42 \\ \therefore \mathrm{L}.\mathrm{H}.\mathrm{S}>\mathrm{R}.\mathrm{H}.\mathrm{S} \end{gathered}$$

Hence, $(-21)-(-10)>(-31)+(-11)$ .