Algebra and Trigonometry, 5th Edition

1.6 Exercise Set

Solve and graph the solution set.

1. 1. $4x-3>2x+7$

2. 2. $8x+1\ge 5x-5$

3. 3. $x+6<5x-6$

4. 4. $3-x<4x+7$

5. 5. $4-2x\le 2x+16$

6. 6. $3x-1>6x+5$

7. 7. $14-5y\le 8y-8$

8. 8. $8x-7<6x+3$

9. 9. $7x-7>5x+5$

10. 10. $12-8y\ge 10y-6$

11. 11. $3x-3+2x\ge 1-7x-9$

12. 12. $5y-5+y\le 2-6y-8$

13. 13. $-\frac{3}{4}x\ge -\frac{5}{8}+\frac{2}{3}x$

14. 14. $-\frac{5}{6}x\le \frac{3}{4}+\frac{8}{3}x$

15. 15. $4x(x-2)<2(2x-1)(x-3)$

16. 16. $(x+1)(x+2)>x(x+1)$

Find the domain of the function.

1. 17. $h(x)=\sqrt{x-7}$

2. 18. $g(x)=\sqrt{x+8}$

3. 19. $f(x)=\sqrt{1-5x}+2$

4. 20. $f(x)=\sqrt{2x+3}-4$

5. 21. $g(x)=\frac{5}{\sqrt{4+x}}$

6. 22. $h(x)=\frac{x}{\sqrt{8-x}}$

Solve and write interval notation for the solution set. Then graph the solution set.

1. 23. $-2\le x+1<4$

2. 24. $-3<x+2\le 5$

3. 25. $5\le x-3\le 7$

4. 26. $-1<x-4<7$

5. 27. $-3\le x+4\le 3$

6. 28. $-5<x+2<15$

7. 29. $-2<2x+1<5$

8. 30. $-3\le 5x+1\le 3$

9. 31. $-4\le 6-2x<4$

10. 32. $-3<1-2x\le 3$

11. 33. $-5<\frac{1}{2}(3x+1)<7$

12. 34. $\frac{2}{3}\le -\frac{4}{5}(x-3)<1$

13. 35. $3x\le -6\mathit{\text{ or }}x-1>0$

14. 36. $2x<8\mathit{\text{ or }}x+3$