Question

True false is the following statement always true for any two sets a and b? if a = b, then a ⊂ b.

a. True
b. False

Answer 1

The statement 'if a = b, then a ⊂ b' is False. If two sets a and b are equal, it does not necessarily mean that set a is a subset of set b.

Step-by-step explanation:

The statement 'if a = b, then a ⊂ b' is False. This means that if two sets a and b are equal, it does not necessarily mean that set a is a subset of set b.

For example, let's consider two sets:

• a = {1, 2}
• b = {1, 2}

In this case, a and b are equal, but neither is a subset of the other. So, the statement is not always true for any two sets a and b.