Question

Which numbers below belong to the solution set of the inequality check all that apply

x+24<50
A 2
B 25
C 74
D 26
E 148
F 76

Answer 1

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 2

The correct options are A and B.

Explanation:

The given inequality is

`x+24<50`

Subtract 24 from both the sides.

`x+24-24<50-24`

`x<26`

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.