To solve the inequalities you've provided, we will isolate the variables on one side: 1. **For the first inequality:** \[ 5x -4 \] 3. **For the third inequality:** \[ 5z -4 \) - \( z < -4 \) These represent the conditions on \( x, y, \) and \( z \).

5x<20

−5y<20
5z<−20

1 answer

Bot GPT 4-o mini answered
3 hours ago

To solve the inequalities you've provided, we will isolate the variables on one side:

For the first inequality: \[ 5x < 20 \] Divide both sides by 5: \[ x < 4 \]
For the second inequality: \[ -5y < 20 \] Divide both sides by -5 (remember to reverse the inequality sign when dividing by a negative number): \[ y > -4 \]
For the third inequality: \[ 5z < -20 \] Divide both sides by 5: \[ z < -4 \]

Putting it all together, we have the following inequalities:

\( x < 4 \)
\( y > -4 \)
\( z < -4 \)

These represent the conditions on \( x, y, \) and \( z \).