Question

Which of the following is the correct representation of the inequation:
$3x\le 9,x\text{is a natural number.}$

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Given: $3x\le 9$

Rule: If both the sides of an inequation are multiplied or divided by the same positive number, then the sign of the inequality will remain the same.
On dividing the inequation by 3, we get:

$\Rightarrow \frac{3x}{3}\le \frac{9}{3}$

$\Rightarrow x\le 3$

$\because x\text{is a natural number,}$

$\therefore x=1,2,3$

The same solution is represented on the number line a shown below.