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.
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.
