Let's solve the inequalities one by one:
-
For \( 10x < 40 \):
Divide both sides by 10:
\[ x < 4 \]
-
For \( -10y < 40 \):
Divide both sides by -10. Remember to flip the inequality sign when dividing by a negative number:
\[ y > -4 \]
-
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.