Question

Solve for the inequalities.

10x<15
-10y<15
10z<-15

Answer 1

To solve the given inequalities, we'll isolate the variables on one side.

1. **For the inequality \( 10x < 15 \)**:

Divide both sides by 10:
\[
x < \frac{15}{10}
\]
Simplifying the fraction:
\[
x < 1.5
\]

2. **For the inequality \( -10y < 15 \)**:

Divide both sides by -10. Remember that dividing by a negative number reverses the inequality:
\[
y > \frac{15}{-10}
\]
Simplifying the fraction:
\[
y > -1.5
\]

3. **For the inequality \( 10z < -15 \)**:

Divide both sides by 10:
\[
z < \frac{-15}{10}
\]
Simplifying the fraction:
\[
z < -1.5
\]

### Summary of solutions:
- \( x < 1.5 \)
- \( y > -1.5 \)
- \( z < -1.5 \)