-t/5 + 7 is greater than -4

Answer 1

To solve the inequality \(-\frac{t}{5} + 7 > -4\), we will follow these steps:

1. Isolate the term with \(t\): \[ -\frac{t}{5} + 7 > -4 \] Subtract 7 from both sides: \[ -\frac{t}{5} > -4 - 7 \] \[ -\frac{t}{5} > -11 \]

2. Multiply both sides by -5: Remember that multiplying or dividing both sides of an inequality by a negative number reverses the inequality sign. \[ t < -11 \times -5 \] \[ t < 55 \]

So the solution to the inequality is: \[ t < 55 \]