Question

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

Answer 1

Answer:
`q=(112)/(501)`

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:
`(501q)/(501) > (112)/(501)`

7) Simplify:
`q=(112)/(501)`