If a = {4, 7, 10, 13, 17} and b = {3, 5, 7, 9}, then which of the following statements is false?

1) ∅⊂a
2) b⊆b
3) b⊂a

The correct option is 3.

Step-by-step explanation:

The given sets are

A = {4, 7, 10, 13, 17}

B = {3, 5, 7, 9}

We know that ∅ is the subset of all sets, therefore ∅⊂A is true.

Each set is the subset of itself, therefore B⊆B is true.

Set B is called a subset of A if and only if all the element of B belong to set A.

Since 3,5,9 ∉ A, therefore B⊄A .

B⊆B is a false statement.

Therefore correct option is 3.

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.