Question

In order to qualify for an american military, Minimum height of a candidate will be 60 inches. A candidate should be disqualified if he is taller than 80 inches. Express the above situation as an inequality, if "h" is the height of the candidate

• A. $60\le h<80$
• B. $60\le h\ge 80$
• C. $60\le h\le 80$
• D. $60<h\le 80$

Answer 1

The correct option is C $60\le h\le 80$

Given, h represents the height of candidates.

Step 1: The minimum height for qualify for the physical test is 60 inches.
This statement can be represented as :
h ≥ 60 which can also be written as $60\le h$
Step 2: Also, The maximum height above which a candidate can be disqualified is 80 inches, which means that h is less than or equal to 80 inches
$h\le 80$

Step 3: Combining both the inequalities:
$\Rightarrow 60\le h\le 80$

Hence, it will be represented as: $\Rightarrow 60\le h\le 80$