Question

Mark the solution of the following linear inequation on a number line.
$-6y+2\le 14,y\text{is a natural number.}$

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

$-6y+2\le 14\text{(subtract 2 from both sides)}\Rightarrow -6y+2-2\le 14-2\Rightarrow -6y\le 12\text{divide both side by -6}\Rightarrow \frac{-6y}{-6}\ge \frac{12}{-6}\Rightarrow y\ge -2\text{Since, it is divided by a negative number,}\text{the inequality is reversed}$

Also, y is a natural number,
so, y can't be a negative number and also cannot be 0.

$\text{Hence,}y=1,2,3,...$