Use the definitions for the sets given below to determine whether each statement is true or false:A = { x ∈ Z: x is an integer multiple of 3 }B = { x ∈ Z: x is a perfect square }C = { 4, 5, 9, 10 }D = { 2, 4, 11, 14 }E = { 3, 6, 9 }F = { 4, 6, 16 }An integer x is a perfect square if there is an integer y such that x = y2.(a)15 ⊂ A(b){15} ⊂ A(c)∅ ⊂ A(d)A ⊆ A(e)∅ ∈ B(f)A is an infinite set.(g)B is a finite set.(h)|E| = 3(i)|E| = |F|

Answer:(a) false (b) true(c) true(d) true(e) false(f) true (g) false(h) true(i) trueStep-by-step explanation:(a) 15 ⊂ A, since 15 is not a set, but an element, we cannot say of an element to be subset of a set. False(b) {15} ⊂ A The subset {15} is a subset of A, since every element of {15}, that is 15, belongs to A. 15 ∈ {15} and 15 ∈ { x ∈ Z: x is an integer multiple of 3 } 15 is  an integer multiple of 3. since 15/3=5. True(c)∅ ⊂ A ∅ is a subset of any set. True(d) A ⊆ AA is a subset of itself. True(e)∅ ∈ B∅ is not an element, it is a subset, so it does not belong to any set. False(f)A is an infinite set.Yes, there are infinite integers multiple of 3. True(g)B is a finite set.No, there are infinite integers that are perfect squares. False(h)|E| = 3The number of elements that belong to E are 3. True(i)|E| = |F|The number of elements that belong to F are 3. So is the number of elements of E. True