How do you solve the inequality 5 + t \ge \frac{3}{4}5+t34?

1 Answer
Jan 21, 2015

First of all, you subtract 5 from both sides, and obtain
5+t-5\geq \frac{3}{4}-55+t5345
which means
t \geq \frac{3}{4}-5t345
Now, we only need to compute \frac{3}{4}-5345 to finish, and since 5=\frac{20}{4}5=204, we get that \frac{3}{4}-5=\frac{3}{4}-\frac{20}{4}=-\frac{17}{4}345=34204=174.

The answer is thus t\geq -\frac{17}{4}t174.