Question

Show that the pairs of set is equivalent: C={2,3,4,5} and D= (1, 3, 8, 9);​

Answer 1

Answer:

A={2,3}

B={x:x is a solution of x

2

+5x+6=0}

x

2

+5x+6=0

x(x+3)+2(x+3)=0

(x+2)(x+3)=0

x=−2 or x=−3

∴B={−2,−3}

∴A



=B

(ii) A={x:x is a letter in the word FOLLOW}={F,O,L,W}

B={y:y is a letter in the word WOLF}={W,O,L,F}

The order in which the elements of a set are listed is not significant.

∴A=B

Answer 2

Answer:

C={2,3,4,5}

Step-by-step explanation:

Equal sets:

The two given sets are called Equal Sets if their number of elements and the member of elements are exactly same.

thus equal sets are:

B=D={1,2,3,4}

C=F={8,4,12}

Equivalent sets:

two sets are called Equivalent Sets if the number of elements are same

Thus, equivalent sets are:

A,E,H; B,D,G; C,F.