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Question

# Which of the following is a solution to the inequation 2x < x + 5?

A
8
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B
4
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C
10
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D
6
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Solution

## The correct option is B 4The given inequation is 2x < x + 5 In case of first option: Substituting x = 4 in the inequation, we get: LHS=2×4=8 RHS=4+5=9 So, LHS < RHS ∴ x = 4 is a solution to the given inequation. In case of second option: Substituting x = 6 in the inequation, we get: LHS=2×6=12 RHS=6+5=11 So, LHS > RHS ∴ x = 6 can't be a solution to the given inequation. In case of third option: Substituting x = 8 in the inequation, we get: LHS=2×8=16 RHS=8+5=13 So, LHS > RHS ∴ x = 8 can't be a solution to the given inequation. In case of the last option: Substituting y = 10 in the inequation, we get: LHS=2×10=20 RHS=5+10=15 So, LHS > RHS ∴ x = 10 can't be a solution to the given inequation. So, the given solution is x = 4.

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