Question

Fill the blank with >,< or = sign, in the following expression:
The given expression is: \[( - 25) - ( - 42)\_\_\_\_( - 42) - ( - 25)\]?

Answer 1

Hint: Here the given question needs to put the greater then, less then, or equals to, sign for the given expression, here to put the sign first we need to solve the expression and then see for the sign which is applicable for.

Complete step-by-step solution:
Here we need to put one of the three sign, we are provided with in order to solve the given question, here first we need to solve the expression and then put the sign, on solving we get:
\[
   \Rightarrow ( - 25) - ( - 42)\_\_\_\_( - 42) - ( - 25) \\
   \Rightarrow - 25 + 42\_\_\_\_ - 42 + 25 \\
   \Rightarrow 17\_\_\_\_ - 17 \]
On solving the expression here we see that on the left side we have positive seventeen value, and on the right side we have negative seventeen value, hence the sign here used will be:
\[ \Rightarrow 17 > - 17\]
Here we get the final answer.

Note: For solving the given question, we first know the meaning of the mathematical sign given in the question, here we have greater then, less then and equal too sign and accordingly after solving w have placed the accurate sign over here.