Question

Fill in the blanks using $=,<or>$

$\left(-21\right)+\left(-10\right)\_\_\_\_\_\left(41\right)-\left(30\right)$

Answer 1

Given $\left(-21\right)+\left(-10\right)\_\_\_\_\_\left(41\right)-\left(30\right)$

consider LHS

$$\begin{gathered} \left(-21\right)+\left(-10\right) \\ -21-10 \\ =-31 \end{gathered}$$

RHS

$$\begin{gathered} \left(41\right)-\left(30\right) \\ 41-30 \\ =+11 \end{gathered}$$

Since $11$ is more than $0$ and $-31$ is less than $0$

LHS $<$RHS

Hence, $\left(-21\right)+\left(-10\right)<\left(41\right)-\left(30\right)$