Question

For the set A = {a, b, c, d, e} the correct

statement is

A) {a, b} ∈ A B) {a}∈ A

C) a∈ A D) a∉ A​

Answer 1

Be careful that ∈ is element sign. ⊂ is similar but this is a subset sign.

So, elements are a, b, c, d, e. Which means a∈A so option C will be correct.

Answer 2

For set A= {a, b, c, d, e} , a∈ A is correct.

Option 'C' is correct.

Given:

• $A = \{a, b, c, d, e \}$

To find:

• For the set find the correct option:
• A) {a, b} ∈ A
• B) {a}∈ A
• C) a∈ A
• D) a∉ A

Solution:

Concept to be used:

• '∈' means 'The element belongs to'. This symbol can be used for elements of a set.
• It cannot be used for sets/subsets.

Step 1:

The correct option is 'C'.

A={a,b,c,d,e}

here, set A have 5 elements and 'a' is one of them.

So, the relationship can be written as a∈ A.

Thus,

Option C is correct.

Step 2:

Check for other options.

In option A; {a, b} ∈ A is wrongly written.

Reason:{a,b} is a subset of A, not element of A.

it can be correctly written as $\{a ,\: b \} \subset \: A$

Similarly,In option 'B' {a} is a subset of A.

So, the statement can be correctly written as

$\{a \} \subset \: A$

In option 'D', a is an element of set A.

So, written expression is wrong.

Thus,

For set A= {a, b, c, d, e} , a∈ A is correct.

Option 'C' is correct.

*Remark: 'a' is an element of set A and {a} is subset of A.

Learn more:

1)Let A = {1, 2, 3, 4} and B = {1, 4, 9, 16, 25} and R be a relation, defined from A to B, as R = {(x, y) : x∈A, y∈B, and ...

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2)if set A has 4 elements, how many subsets does A have?

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