Question
10x<40
−10y<40
10z<−40
−10y<40
10z<−40
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Let's solve the inequalities one by one:
1. **For \( 10x < 40 \):**
Divide both sides by 10:
\[
x < 4
\]
2. **For \( -10y < 40 \):**
Divide both sides by -10. Remember to flip the inequality sign when dividing by a negative number:
\[
y > -4
\]
3. **For \( 10z < -40 \):**
Divide both sides by 10:
\[
z < -4
\]
### Summary of the solutions:
- \( x < 4 \)
- \( y > -4 \)
- \( z < -4 \)
These represent the solution sets for each variable based on the given inequalities.
1. **For \( 10x < 40 \):**
Divide both sides by 10:
\[
x < 4
\]
2. **For \( -10y < 40 \):**
Divide both sides by -10. Remember to flip the inequality sign when dividing by a negative number:
\[
y > -4
\]
3. **For \( 10z < -40 \):**
Divide both sides by 10:
\[
z < -4
\]
### Summary of the solutions:
- \( x < 4 \)
- \( y > -4 \)
- \( z < -4 \)
These represent the solution sets for each variable based on the given inequalities.
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