Question

The president of the United states had his tenure from the year 2017 to 2021. Show the previous statement as an inequality if $x$ represents the respective year.

• A. $2017\le x\le 2021$
• B. $2017<x\le 2021$
• C. $2017\le x<2021$
• D. $2017<x<2021$

Answer 1

The correct option is A $2017\le x\le 2021$

Given, $x$ represents the year.

Step 1 : The president of The United States tenure started in the year 2017.
The above statement can be represented Mathematically as:
$\to 2017\le x$

Step 2 :The president of The United States tenure ends in the year 2021.
The above statement can be represented Mathematically as :
$\to x\le 2021$
Both the inequalities are written as:
$\to 2017\le x\text{and}x\le 2021$
Combining both the inequalities:
$\to 2017\le x\le 2021$

Hence, option (a.) is the correct choice.