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Ch. 15 Practice Set 2 pages 514-515 #33-46

Total questions: 14

Worksheet time: 28mins

Name
Class
Date
1.

33. Which of the following inequalities represents that x is less than t and t is less than or equal to  \frac{1}{2}   of y ? 

a)

 x<ty2x<t\le\frac{y}{2}  

b)

 x>ty2x>t\ge\frac{y}{2}  

c)

 x<t<y2x<t<\frac{y}{2}  

d)

 x<2t<yx<2t<y  

2.

34. Which of the following inequalities is equivalent to
8x < 96 ? 

a)

 x<8x<8  

b)

 x<12x<12  

c)

 x<96x<96  

d)

 x>8x>8  

3.

35. Which of the following inequalities is equivalent to x10<2x−10<−2 

a)

 x<20x<-20  

b)

 x<12x<-12  

c)

 x<2x<-2  

d)

 x<8x<8  

4.

36. Which of the following inequalities is equivalent to  15x>75−15x>75  ?

a)

 x<15x<-15  

b)

 x<5x<-5  

c)

 x<2x<-2  

d)

 x<8x<8  

5.

37. Which of the following inequalities is equivalent to  x>17−x>−17  ?

a)

 x<17x<-17  

b)

 x>17x>-17  

c)

 x<17x<17  

d)

 x>17x>17  

6.

38. Which of the following inequalities is equivalent to  7x<63−7x<−63  ?

a)

 x<9x<-9  

b)

 x>9x>-9  

c)

 x<9x<9  

d)

 x>9x>9  

7.

39. Which of the following inequalities is equivalent to  7x4<14\frac{7x}{4}<14  ?

a)

 x<2x<2  

b)

 x<72x<\frac{7}{2}  

c)

 x<8x<8  

d)

s x<56x<56  

8.

40. Which of the following inequalities is equivalent to
 x3>7-\frac{x}{3}>7  ?

a)

 x<21x<-21  

b)

 x<7x<-7  

c)

 x<73x<-\frac{7}{3}  

d)

 x>21x>-21  

9.

41. If 4<x<14  , what is the range for  x4−x−4   ?

a)

 8>x4>14−8>−x−4>−14  

b)

 8>x4>18−8>−x−4>−18  

c)

 8<x4<18−8<−x−4<−18  

d)

 4>x4>14−4>−x−4>−14  

10.

42. If  −2<x<4  , what is the range for  3x23x−2  ?


a)

 8<3x2<10−8<3x−2<10  

b)

 8<3x2<12−8<3x−2<12  

c)

 6<3x2<10−6<3x−2<10  

d)

 6<3x2<12−6<3x−2<12  

11.

43. If  −6<x<6  , what is the range for  x+3−x+3   ?


a)

 9>x+3>99>−x+3>−9  

b)

 9>x+3>69>−x+3>−6  

c)

 9>x+3>39>−x+3>−3  

d)

 9<x+3<39<−x+3<−3  

12.

44. If  2<x<2−2<x<2  , what is the range for  -\frac{x}{2}+2  


a)

 2>x2+2>1 2>-\frac{x}{2}+2>1\   

b)

 2>x2+2>22>-\frac{x}{2}+2>-2  

c)

 3<x2+2<1 3<-\frac{x}{2}+2<1\   

d)

 3>x2+2>1 3>-\frac{x}{2}+2>1\   

13.

45. Which of the following inequalities represents that a is greater than or equal to −4 and b is less than −4 ?

a)


4a>b−4≥a>b

b)

a4ba≥−4≥b

c)

a4>ba≥−4>b

d)

a>4>ba>−4>b

14.

46. Which of the following inequalities represents that r is greater than or equal to one-half of s and s is greater than t?

a)

rs2>tr\ge\frac{s}{2}>t

b)

r>s2>tr>\frac{s}{2}>t

c)

2r>s>t2r>s>t

d)

2rs>t2r\ge s>t