Question

John is making the guest list for his birthday party. He can afford more than 6 person and atmost upto 11. Express this in terms of inequality. If the number of guests is represented by N.

• A. $6<N\le 11$
• B. $6<N<11$
• C. $11<N\le 6$
• D. $6\le N\le 11$

Answer 1

The correct option is A $6<N\le 11$

Given, $N$ represent the number of person he can invite for the birthday party.

Step 1: The minimum number of person he can afford is more than 6.
This above statement can be represented as $N>6$, which can also be written as $6<N$
There will be no close circle at 6 as $N\ne 6$

Step 2: Also, The maximum number of person he can afford is atmost 11, which means that N is less than or equal to 11
$N\le 11$

Combining both the inequalities:
$\Rightarrow 6<N\le 11$