Answer :
To solve the inequality [tex]\(x + 10 < 50\)[/tex] and determine which numbers from the list belong to the solution set, follow these steps:
1. Isolate [tex]\(x\)[/tex] in the Inequality:
- Start with the given inequality:
[tex]\[
x + 10 < 50
\][/tex]
- To solve for [tex]\(x\)[/tex], subtract 10 from both sides:
[tex]\[
x < 50 - 10
\][/tex]
- Simplify the subtraction:
[tex]\[
x < 40
\][/tex]
2. Determine Which Numbers Satisfy [tex]\(x < 40\)[/tex]:
- Check each number to see if it is less than 40:
- Option A: 50
- 50 is not less than 40.
- Option B: 39
- 39 is less than 40.
- Option C: 16
- 16 is less than 40.
- Option D: 41
- 41 is not less than 40.
- Option E: 40
- 40 is not less than 40; they are equal.
- Option F: 84
- 84 is not less than 40.
3. Select the Correct Options:
- The numbers that satisfy the inequality [tex]\(x < 40\)[/tex] are 39 and 16.
Therefore, options B and C (39 and 16) belong to the solution set of the inequality [tex]\(x + 10 < 50\)[/tex].
1. Isolate [tex]\(x\)[/tex] in the Inequality:
- Start with the given inequality:
[tex]\[
x + 10 < 50
\][/tex]
- To solve for [tex]\(x\)[/tex], subtract 10 from both sides:
[tex]\[
x < 50 - 10
\][/tex]
- Simplify the subtraction:
[tex]\[
x < 40
\][/tex]
2. Determine Which Numbers Satisfy [tex]\(x < 40\)[/tex]:
- Check each number to see if it is less than 40:
- Option A: 50
- 50 is not less than 40.
- Option B: 39
- 39 is less than 40.
- Option C: 16
- 16 is less than 40.
- Option D: 41
- 41 is not less than 40.
- Option E: 40
- 40 is not less than 40; they are equal.
- Option F: 84
- 84 is not less than 40.
3. Select the Correct Options:
- The numbers that satisfy the inequality [tex]\(x < 40\)[/tex] are 39 and 16.
Therefore, options B and C (39 and 16) belong to the solution set of the inequality [tex]\(x + 10 < 50\)[/tex].
