10x<40

−10y<40
10z<−40

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.