Question

Mike's mother told him to bring sugar from the shop. She said "bring atleast 2kg of sugar but less than 3kg". What amount of sugar from the given option can Mike bring?

• A. 2 kg
• B. 1.5kg
• C. 3kg
• D. 3.5kg

Answer 1

The correct option is A 2 kg

Let $w$ represent the amount of sugar bought.

Step 1: Mike can buy more than or equal to 2 kg of sugar
The above statement can be represented as :
$w\ge 2$ which can also be written as $2\le w$.

Step 2 : Also, Mike should buy less than 3kg of sugar, which means that w is less than 3 kg .
$w<3$

Combining both the inequalities:
$\Rightarrow 2\le w<3$

$\to$The values of w given in the options should lie in the range of $2\le w<3$ .
$\to$ From the given option(s), w = 2 kg only lies in the range $2\le w<3$ and all other values lies outside of $2\le w<3$.