Question

Solve the inequality 34q−23q<512q−112 and write the solution in interval notation.

Answer 1

Answer:   $q=\frac{112}{501}$

Step-by-step explanation:

1) Add similar elements: 11q < 512q - 112

2) Subtract 512q from both sides: 11q - 512q < 512q - 112 - 512q

3) Simplify: -501q < -112

4) Multiply both sides by -1 to reverse the inequality: (-501q)(-1) > (-112)(-1)

5) Simplify: 501q > 112

6) Divide both sides by 501: $\frac{501q}{501} > \frac{112}{501}$

7) Simplify: $q=\frac{112}{501}$