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Moderate Rational Worksheets

Inequalities

Moderate

Rational

1. \frac{2}{x-2}\gt 4

1. \frac{2}{x-2}\gt 4

2. \frac{2}{3y}+\frac{5}{6y}\gt \frac{3}{4}

2. \frac{2}{3y}+\frac{5}{6y}\gt \frac{3}{4}

3. \frac{4}{x}-3\gt \frac{2}{x}-7

3. \frac{4}{x}-3\gt \frac{2}{x}-7

4. \frac{x}{x-1}\gt 0

4. \frac{x}{x-1}\gt 0

5. \frac{2x-8}{3x-6}\lt 0

5. \frac{2x-8}{3x-6}\lt 0

6. \frac{x+1}{x-5}\le0

6. \frac{x+1}{x-5}\le0

7. \frac{x-1}{x-8}\gt 3

7. \frac{x-1}{x-8}\gt 3

8. x-\frac{15}{x}\lt -2

8. x-\frac{15}{x}\lt -2

9. \frac{2x+5}{x-1}\lt 1

9. \frac{2x+5}{x-1}\lt 1

10. \frac{7x+4}{x+6}\lt 0

10. \frac{7x+4}{x+6}\lt 0

Answers

Inequalities

Moderate

Rational

1. 2<x<\frac{5}{2}

2. 0<y<2

3. x<-\frac{1}{2}\lor x>0

4. x<0\lor x>1

5. 2<x<4

6. -1\le x<5

7. 8<x<\frac{23}{2}

8. x<-5\lor 0<x<3

9. -6<x<1

10. -6<x<-\frac{4}{7}