For the following sets describe the set by listing its elements (if infinite – u

Question

For the following sets describe the set by listing its elements (if infinite – use “…” to represent a pattern after listing enough of the elements to show how the patter goes):

a)      A = {x Z : 5 < x 3},     so           A={                                             }

b)      B = {2x - 1 | x Z},                          B={                                             }

c)      C = {x R : x 1 = 0},              C={                                             }

d)     D = {x R : + 5 = 0},                   D={                                             }

e)      E = {x Z : < 16},                        E={                                             }

Explanation / Answer

1)A={-4,-3,-2,-1,0,1,2,3}

2)B={... , -5,-3,-1,1,3,5,...}

3)

-x - 1 = 0
-(x + 1 ) = 0

x+1=0

x = -1

C={-1}

4)

D={}

5)

E={...,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

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