Question

Which of the following is a solution to the inequation 15 ≤ y + 5 ?

• A. y = 0
• B. y = 7
• C. y = 9
• D. y = 11

Answer 1

The correct option is D y = 11

The given inequation is 15 ≤ y + 5

In case of first option:
Substituting y = 9 in the inequation, we get:

$\text{LHS}=15$
$\text{RHS}=9+5=14$

So, LHS ≥ RHS

∴ y = 9 can't be a solution to the given inequation.

In case of second option:
Substituting y = 11 in the inequation, we get:
$\text{LHS}=15$
$\text{RHS}=11+5=16$

So, LHS ≤ RHS

∴ y = 11 is a solution to the given inequation.

In case of third option:
Substituting y = 7 in the inequation, we get:
$\text{LHS}=15$
$\text{RHS}=7+5=12$

So, LHS ≥ RHS

∴ y = 7 can't be a solution to the given inequation.

In case of the last option:
Substituting y = 0 in the inequation, we get:
$\text{LHS}=15$
$\text{RHS}=5+0=5$

So, LHS ≥ RHS

∴ y = 0 can't be a solution to the given inequation.

So, the given solution is y = 11.