College

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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

Answer :

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.

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada