Question

Which mathematical symbol can be placed between 5, x and 9 to ensure that x is greater than 5 but less than 9?

Answer 1

Hint: Looking at the question at the first place you may think about the symbols of arithmetic operations like +, - , etc. But here you actually have to think about greater than (>), smaller than (<), equal to (=) and all other mathematical symbols related to inequality such that $5*x*9$ satisfies the condition given in the question where * is the symbol that you have to decide.

Complete step-by-step answer:
In the question we are about to deal with the mathematical symbol can be placed between 5, x and 9 to ensure that x is greater than 5 but less than 9.
The first thing to point out is that we are asked about the mathematical symbol and not specifically about arithmetic operators, so try to think about the symbols other than +, - and focus on the symbols like greater than symbol (>), less than symbol (<) etc.
So, if we consider all the points, the interpretation is for what symbol of * does the relation $5*x*9$ satisfies the condition given in the question.
As it is asked that x should be greater than 5 and less than 9, we can represent this in form of inequality as:
$5So, the symbol * is the less than sign. Therefore, the answer to the above question is less than symbol (<).

Note: Don’t get confused between greater than and the greater than or equal to statements for the above question. Greater than or equal to will consists of all the values of x that will satisfy the condition given in the question, but on the other hand it will have some extra values of x as well which would violate the condition, so the answer is greater than sign and not greater than or equal to sign.