High School

Which numbers below belong to the solution set of the inequality \( x + 24 < 50 \)? Check all that apply.

A. 2
B. 25
C. 74
D. 26
E. 148
F. 76

Answer :

x + 24 < 50 |subtract 24 from both sides

x < 26

A. 2
check: 2 + 24 = 26 < 50

B. 25
check: 25 + 24 = 49 < 50

Answer:

The correct options are A and B.

Step-by-step explanation:

The given inequality is

[tex]x+24<50[/tex]

Subtract 24 from both the sides.

[tex]x+24-24<50-24[/tex]

[tex]x<26[/tex]

It means the value of x is less than 26. So, the solution must be less than 26.

1) 2<26, therefore option A is correct.

2) 25<26, therefore option B is correct.

3) 74>26, therefore option C is incorrect.

4) 26=26, therefore option D is incorrect.

5) 148>26, therefore option E is incorrect.

6) 76>26, therefore option F is incorrect.

Therefore correct options are A and B.