Question

Which number(s) below belong to the solution set of the inequality? Check all that apply.

x + 10 < 50

A. 84
B. 16
C. 50
D. 39
E. 41
F. 40

Answer 1

x + 10 < 50

x < 50 - 10

x < 40

*x<40 or (-∞, 40)

-- B.16 and D.39

Answer 2

(B) and (D)

Explanation:

The given set of inequality is :

`x+10<50`

(A) Put x=84 in the given set of inequality, we have

`84+10<50`

`94<50`

which is not possible, therefore this option is not correct.

(B) Put x=16 in the given set of inequality, we have

`16+10<50`

`26<50`

which is possible, thus this option is correct.

(C) Put x=50 in the given set of inequality, we have

`50+10<50`

`60<50`

which is not possible, therefore this option is not correct.

(D) Put x=39 in the given set of inequality, we have

`39+10<50`

`49<50`

which is possible, thus this option is correct.

(E) Put x=41 in the given set of inequality, we have

`41+10<50`

`51<50`

which is not possible, therefore this option is not correct.

(F) Put x=40 in the given set of inequality, we have

`40+10<50`

`50<50`

which is not possible, therefore this option is not correct.