High School

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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 :

x + 10 < 50

x < 50 - 10

x < 40

*x<40 or (-∞, 40)

-- B.16 and D.39

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Rewritten by : Barada

Answer:

(B) and (D)

Step-by-step explanation:

The given set of inequality is :

[tex]x+10<50[/tex]

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

[tex]84+10<50[/tex]

[tex]94<50[/tex]

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

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

[tex]16+10<50[/tex]

[tex]26<50[/tex]

which is possible, thus this option is correct.

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

[tex]50+10<50[/tex]

[tex]60<50[/tex]

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

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

[tex]39+10<50[/tex]

[tex]49<50[/tex]

which is possible, thus this option is correct.

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

[tex]41+10<50[/tex]

[tex]51<50[/tex]

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

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

[tex]40+10<50[/tex]

[tex]50<50[/tex]

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