1001 Algebra Problems.PDF

• RATIONAL EXPRESSIONS–

554 Determine the solution set for the inequality

0.

a.(–^12 ,–^25 )∪(–^25 ,1]

b.[–^12 ,–^25 )∪(–^25 ,1]

c.(–∞,–^12 ]∪(–^25 ,1]

d.(–∞,–^12 ]∪[–^25 ,∞)

555.Determine the solution set for the inequality

^6 x 2

3

4

• x
  ^224 x 0.
  a.[–2,0]∪[2,∞)
  b.(–∞,0]∪[2,∞)
  c.[–2,0)∪[2,∞)
  d.[0,2]

556.Determine the solution set for the inequality

0.

a.(^52 ,∞)

b.(–∞,^52 )

c.the empty set

d.the set of all real numbers

557.Determine the solution set for the inequality

(x+^32 – )(^2 xx–1)– (x–^2 1)–(xx+2) 0.

a.(–∞,–2]

b.(–∞,1]

c.(–∞,–2)

d.[–2,1]

558.Determine the solution set for the inequality



x

x

+

–3

^5 – x

x–

1

 3 0.

a.(–1,5)

b.(–1, 3)∪(3,5)

c.(–∞,3)∪(3,∞)

d.(–∞,3)∪(3,5)

559.Determine the solution set for the inequality

 2 xx+1–  2 x^1 –1+  4 x^22 x–

2

 1

 0.

a.[–^12 ,–^14 ]∪(^12 ,1]

b.[–^12 ,–^14 ]

c.[–^12 ,–^14 ]∪[^12 ,1]

d.(–^12 ,–^14 ]∪(^12 ,1]

560.Determine the solution set for the inequality

• 
  
  
  
  • y+^5  1 0.
    a.(–∞,4]
    b.(–∞,–4]
    c.(–∞,4)
    d.(–∞,–4)
  
  
  
  

^7 y–3

(y– 1)(y+1)

^3 y+2

(y–1)^2

(2x– 5)(x+ 4) – (2x– 5)(x+ 1)

9(2x– 5)

^5 x^2 (x– 1) – 3x(x– 1) – 2(x– 1)

10 x^2 (x– 1) + 9x(x– 1) + 2(x– 1)