Answer :
Let's solve the inequality step-by-step to find the numbers that belong to its solution set.
We have the inequality:
[tex]\[ x + 24 < 50 \][/tex]
1. Subtract 24 from both sides of the inequality to isolate [tex]\( x \)[/tex]:
[tex]\[ x + 24 - 24 < 50 - 24 \][/tex]
[tex]\[ x < 26 \][/tex]
Now, we know that any number less than 26 is part of the solution set.
2. Check each of the given numbers to see if they are less than 26:
- A. 26:
- 26 is not less than 26, so it does not belong to the solution set.
- B. 2:
- 2 is less than 26, so it belongs to the solution set.
- C. 25:
- 25 is less than 26, so it belongs to the solution set.
- D. 76:
- 76 is not less than 26, so it does not belong to the solution set.
- E. 148:
- 148 is not less than 26, so it does not belong to the solution set.
- F. 74:
- 74 is not less than 26, so it does not belong to the solution set.
Therefore, the numbers that belong to the solution set of the inequality [tex]\( x + 24 < 50 \)[/tex] are B. 2 and C. 25.
We have the inequality:
[tex]\[ x + 24 < 50 \][/tex]
1. Subtract 24 from both sides of the inequality to isolate [tex]\( x \)[/tex]:
[tex]\[ x + 24 - 24 < 50 - 24 \][/tex]
[tex]\[ x < 26 \][/tex]
Now, we know that any number less than 26 is part of the solution set.
2. Check each of the given numbers to see if they are less than 26:
- A. 26:
- 26 is not less than 26, so it does not belong to the solution set.
- B. 2:
- 2 is less than 26, so it belongs to the solution set.
- C. 25:
- 25 is less than 26, so it belongs to the solution set.
- D. 76:
- 76 is not less than 26, so it does not belong to the solution set.
- E. 148:
- 148 is not less than 26, so it does not belong to the solution set.
- F. 74:
- 74 is not less than 26, so it does not belong to the solution set.
Therefore, the numbers that belong to the solution set of the inequality [tex]\( x + 24 < 50 \)[/tex] are B. 2 and C. 25.
