High School

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Which number(s) below belong to the solution set of the inequality [tex]x + 24 < 50[/tex]? Check all that apply.

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

Answer :

To solve the inequality [tex]\( x + 24 < 50 \)[/tex], we need to find all values of [tex]\( x \)[/tex] that satisfy this condition. Here's how we do it:

1. Subtract 24 from both sides of the inequality:
[tex]\[
x + 24 - 24 < 50 - 24
\][/tex]
This simplifies to:
[tex]\[
x < 26
\][/tex]

2. Determine which numbers from the given list satisfy this inequality:
- A. 26: This number is equal to 26, not less than 26, so it does not belong.
- B. 148: This number is greater than 26, so it does not belong.
- C. 25: This number is less than 26, so it belongs.
- D. 74: This number is greater than 26, so it does not belong.
- E. 2: This number is less than 26, so it belongs.
- F. 76: This number is greater than 26, so it does not belong.

Therefore, the numbers that belong to the solution set of the inequality [tex]\( x + 24 < 50 \)[/tex] are 25 and 2.

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