High School

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 \lt 50[/tex]? Check all that apply.

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

Answer :

To solve the inequality [tex]\( x + 24 < 50 \)[/tex], we want to find the values of [tex]\( x \)[/tex] that make the inequality true. Let's go through the steps to do this:

1. Start with the inequality:
[tex]\[
x + 24 < 50
\][/tex]

2. Subtract 24 from both sides of the inequality to solve for [tex]\( x \)[/tex]:
[tex]\[
x < 50 - 24
\][/tex]

3. Simplify the right side:
[tex]\[
x < 26
\][/tex]

This means that any number less than 26 satisfies the inequality. Now, let's check each of the given numbers to see if they belong to the solution set:

- A. 26: This number is not less than 26, so it does not satisfy [tex]\( x < 26 \)[/tex].
- B. 2: This number is less than 26, so it satisfies the inequality.
- C. 25: This number is less than 26, so it satisfies the inequality.
- D. 74: This number is not less than 26, so it does not satisfy the inequality.
- E. 76: This number is not less than 26, so it does not satisfy the inequality.
- F. 148: This number is not less than 26, so it does not satisfy the inequality.

Therefore, the numbers that satisfy the inequality [tex]\( x + 24 < 50 \)[/tex] are 2 and 25.