Q56 of 58 Page 12

State True or False for the following statements

Q ∪ Z = Q, where Q is the set of rational numbers and Z is the set of integers.

True

We know, every integer is a rational number


Hence, Z ⊂ Q and Q ∪ Z = Q


So, the given statement is true


More from this chapter

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54

State True or False for the following statements

Given that M = {1, 2, 3, 4, 5, 6, 7, 8, 9} and if B = {1, 2, 3, 4, 5, 6, 7, 8, 9}, then b sub set m

 55

State True or False for the following statements

The sets {1, 2, 3, 4} and {3, 4, 5, 6} are equal.

 57

State True or False for the following statements

Let sets R and T be defined as


R = {x ∈ Z | x is divisible by 2}


T = {x ∈ Z | x is divisible by 6}. Then T ⊂ R

 58

State True or False for the following statements

Given A = {0, 1, 2}, B = {x ∈ R | 0 ≤ x ≤ 2}. Then A = B.