Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Which number(s) below belong to the solution set of the inequality [tex]$x + 24 < 50$[/tex]?

Check all that apply.

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

To solve the inequality [tex]$x + 24 < 50$[/tex], follow these steps:

1. Isolate [tex]$x$[/tex]: Start by moving 24 to the other side of the inequality. To do this, subtract 24 from both sides:
[tex]\[
x + 24 - 24 < 50 - 24
\][/tex]
Simplifying, you get:
[tex]\[
x < 26
\][/tex]

2. Determine which numbers satisfy the inequality [tex]$x < 26$[/tex]: Check each of the given numbers to see if they are less than 26.

- A. 25: Since 25 is less than 26, it satisfies the inequality.
- B. 74: 74 is greater than 26, so it does not satisfy the inequality.
- C. 76: 76 is also greater than 26, so it does not satisfy the inequality.
- D. 148: 148 is greater than 26, so it does not satisfy the inequality.
- E. 2: Since 2 is less than 26, it satisfies the inequality.
- F. 26: Since 26 is not less than 26 (it is equal), it does not satisfy the inequality.

The numbers that belong to the solution set are those that satisfy the condition [tex]$x < 26$[/tex]. Therefore, the numbers are:

- 25 (A)
- 2 (E)

So, the solution set includes options A and E.