Question

If set A is described as { x: x < 5}, then which of the following statements is true?


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Answer 1

Answer:

True

Step-by-step explanation:

Given

a<b.

Let c be any numbers

on subtracting 'c' from both values

a−c<b−c.

∴ given statements is

true.

Answer 2

The question is:

If set A is described as { x: x < 5}, then which of the following statements is true?

a. 5∈A

b. 4∈A

c. 3∈A

The correct options are b and c.

Given:

A= { x: x < 5}

To find:

The correct option.

Solution:

• A set is a collection of well defined objects or elements.
• A set is denoted by a capital letter.
• The elements in a set are written inside curly brackets.

Since, the set A is defined for { x: x < 5}.

So, the elements of set A will be 1, 2, 3 and 4.

Or we can write it as A= { 1, 2, 3, 4 }.

Thus, we can say that 1 ∈A, 2∈A, 3∈A and 4∈A.

Therefore, the correct options are b, i.e., 4∈A and c, i.e., 3∈A.

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