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

Answer :

Sure! Let's solve the inequality step by step to find out which numbers belong to the solution set:

The inequality we need to solve is:

[tex]\( x + 24 < 50 \)[/tex]

1. Subtract 24 from both sides:
To isolate [tex]\( x \)[/tex] on one side, you subtract 24 from both sides of the inequality:

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

This simplifies to:

[tex]\[
x < 26
\][/tex]

2. Check each option to see if it meets the condition [tex]\( x < 26 \)[/tex]:
- A. 148: [tex]\( 148 < 26 \)[/tex] is false.
- B. 26: [tex]\( 26 < 26 \)[/tex] is false.
- C. 2: [tex]\( 2 < 26 \)[/tex] is true.
- D. 76: [tex]\( 76 < 26 \)[/tex] is false.
- E. 25: [tex]\( 25 < 26 \)[/tex] is true.
- F. 74: [tex]\( 74 < 26 \)[/tex] is false.

So, the numbers that satisfy the inequality [tex]\( x < 26 \)[/tex] from the given options are:

- C. 2
- E. 25

Therefore, the solution set includes the numbers 2 and 25.

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