Question

Match each of the inequalities with their corresponding set of solutions.
−3x>−21-3x>-21−3x>−21
−16x<−48-16x<-48−16x<−48
−15x>−45-15x>-45−15x>−45
−11x<−77-11x<-77−11x<−77
Drag & Drop the answer
x>7x>7x>7
x<7x<7x<7
x<3x<3x<3
x>3x>3x>3

Answer 1

Let's solve each inequality to find the corresponding set of solutions:

1. **−3x > −21**:
- Divide both sides by -3 (remember to flip the inequality sign):
- \( x < 7 \)

2. **−16x < −48**:
- Divide both sides by -16 (flipping the inequality sign):
- \( x > 3 \)

3. **−15x > −45**:
- Divide both sides by -15 (flipping the inequality sign):
- \( x < 3 \)

4. **−11x < −77**:
- Divide both sides by -11 (flipping the inequality sign):
- \( x > 7 \)

Now let's match each inequality with its solution set:

- **−3x > −21** → **x < 7**
- **−16x < −48** → **x > 3**
- **−15x > −45** → **x < 3**
- **−11x < −77** → **x > 7**

### Matches:
- **−3x > −21**: **x < 7**
- **−16x < −48**: **x > 3**
- **−15x > −45**: **x < 3**
- **−11x < −77**: **x > 7**

However, upon inspecting the inequalities and their solutions again, it seems that we have:
1. **−3x > −21**: **x < 7**
2. **−16x < −48**: **x > 3**
3. **−15x > −45**: **x < 3**
4. **−11x < −77**: **x > 7**

So that means the correct answers for each respective solution set should be matched carefully as per the calculations.

Let me clarify the final matches based on the inequalities:
- **−3x > −21** → **x < 7**
- **−16x < −48** → **x > 3**
- **−15x > −45** → **x > 3**
- **−11x < −77** → **x < 7**

### Final Matches:
- **−3x > −21**: x < 7
- **−16x < −48**: x > 3
- **−15x > −45**: x > 3
- **−11x < −77**: x < 7

In conclusion:
1. **−3x > −21** → **x < 7**
2. **−16x < −48** → **x > 3**
3. **−15x > −45** → **x < 3**
4. **−11x < −77** → **x > 7**

Please double-check all signs and directions while solving each inequality to ensure you have the right matches.