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Question

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

A
y = 0
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B
y = 7
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C
y = 9
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D
y = 11
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Solution

## The correct option is D y = 11The given inequation is 15 ≤ y + 5 In case of first option: Substituting y = 9 in the inequation, we get: LHS=15 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: LHS=15 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: LHS=15 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: LHS=15 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.

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