1001 Algebra Problems.PDF

• RATIONAL EXPRESSIONS–

Set 35 (Answers begin on page 211)

This problem set focuses on solving rational inequalities.

545.Determine the solution set for the inequality
(x–(x^1 +)(x3)+ 2 2) 0.
a.(–2,1)
b.[–2,1]
c.[–3,–2]
d.[–3,–2]∪[1,∞)

546.Determine the solution set for the inequality

0.

a.(–1,∞)

b.(–1,3)

c.(–∞,–1)∪(3,∞)

d.(–∞,3)

547.Determine the solution set for the inequality

0.

a.(–^12 ,0)∪(0,^23 )

b.[–^12 ,^23 ]

c.(–∞,–^12 ]∪[^23 ,∞)

d.(–^12 ,^23 )

548.Determine the solution set for the inequality

≥ 0.

a.[–3,–2)∪[1,6)

b.[–3,–2]∪[1,6)

c.[–3,–2]∪[1,6]

d.(–3,–2)∪(1,6)

549.Determine the solution set for the inequality

z^22 z

2

+

• 2

z

z

1

1

5

 5 0.

a.(–∞,–5]∪[–^52 ,∞)

b.[–5,–^52 ]

c.(–∞,–5)∪[–^52 ,)

d.[–^52 ,∞)

550.Determine the solution set for the inequality

0.

a.the empty set

b.the set of all real numbers

c.(0,∞)

d.(–∞,0)

551.Determine the solution set for the inequality

0.

a.(0,4)

b.(–∞,–4)

c.(4,∞)

d.(–4,0)

552.Determine the solution set for the inequality

0.

a.[–8,8]

b.[–8,8)∪(8,∞)

c.(–8,8)

d.(–8,8)∪(8,∞)

553.Determine the solution set for the inequality

xx 3

2

+

6

8

4

x

x> 0.

a.(8,∞)

b.[8,∞)

c.(8,–∞)

d.(–∞,8]

y^2 – 64

8 – y

z^3 – 16z

8 z– 32

25(–x)^4

x(5x^2 )^2

x^2  2 – x–^1  1



x+^1  3 – x^4  2

–x^2 –1

6 x^4 – x^3 –2x^2

x^2 + 9

x^2 –2x–3