Question

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

• A. 8
• B. 4
• C. 10
• D. 6

Answer 1

The correct option is B 4

The given inequation is 2x < x + 5

In case of first option:
Substituting x = 4 in the inequation, we get:
$\text{LHS}=2\times 4=8$
$\text{RHS}=4+5=9$

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:
$\text{LHS}=2\times 6=12$
$\text{RHS}=6+5=11$

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:
$\text{LHS}=2\times 8=16$
$\text{RHS}=8+5=13$

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:
$\text{LHS}=2\times 10=20$
$\text{RHS}=5+10=15$

So, LHS > RHS

∴ x = 10 can't be a solution to the given inequation.

So, the given solution is x = 4.