Question

Oliver had a total of 12 books. He decided that he would read more than 4 books in next month, but no more than eight. Which of following group of inequalities best reflects Oliver's reading habits? (Assume Oliver read $N$ number of books in the month)

• A. $N>4$ and $N\le 8$
• B. $N>4$ and $N<8$
• C. $N\ge 4$ and $N<8$

Answer 1

The correct option is A $N>4$ and $N\le 8$

Oliver wants to read more than 4 books in next month.

If $N$ represents the number of books read by Oliver in that particular month, the above statement can be represented as

$N>4$

Also he decides to read not more than 8 books in the month. This signifies he may read 8 or less number of books.
$\Rightarrow N\le 8$

$\therefore$ Oliver can read either 5,6,7 or 8 number of books in order to satisfy his condition.

Hence, $N>4$ and $N\le 8.$