To solve the inequality \( \frac{t}{-3} + 8 > 13 \), follow these steps: 1. **Isolate the term containing \( t \)**: \[ \frac{t}{-3} + 8 > 13 \] Subtract 8 from both sides: \[ \frac{t}{-3} > 13 - 8 \] \[ \frac{t}{-3} > 5 \] 2. **Multiply both sides by -3**: Remember to reverse the inequality sign when multiplying or dividing by a negative number. \[ t < 5 \cdot (-3) \] \[ t < -15 \] The solution to the inequality is: \[ t < -15 \]

t/-3+8>13

1 answer

To solve the inequality \( \frac{t}{-3} + 8 > 13 \), follow these steps:

Isolate the term containing \( t \): \[ \frac{t}{-3} + 8 > 13 \] Subtract 8 from both sides: \[ \frac{t}{-3} > 13 - 8 \] \[ \frac{t}{-3} > 5 \]
Multiply both sides by -3: Remember to reverse the inequality sign when multiplying or dividing by a negative number. \[ t < 5 \cdot (-3) \] \[ t < -15 \]

The solution to the inequality is: \[ t < -15 \]