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.
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.
