Question

Find the solution of the inequation:
$2\le y+5\le 9,$
when y is a whole number.

• A. $1,2,3,4$
• B. $-3,-2,-1$
• C. $-3,-2,-1,0,1,2,3,4$
• D. $0,1,2,3,4$

Answer 1

The correct option is D $0,1,2,3,4$

Given: $2\le y+5\le 9$

Rule: If a term of an inequation is transferred from one side to the other side of the inequation, the sign of the term gets changed. Let's apply this rule in the above inequation.

$\Rightarrow 2-5\le y\le 9-5$

$\Rightarrow -3\le y\le 4$

So, $y=-3,-2,-1,0,1,2,3,4$

$\text{Also,}y\text{is a whole number}$

$\therefore y=0,1,2,3,4$

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