Question

Let p: The whole number has one digit.
Let q: The whole number is less than 10.
Which represents "The whole number has one digit if and only if the whole number is less than 10"?
Opvq
Op^q
O p q
p-q

Answer 1

Option fourth p ↔q is correct because if p is true then q is true or if q is true then p is true.

What is a logical symbol?

In Boolean algebra, conjunction between two propositions is denoted by the logical AND symbol.

We have two statements:

p: The whole number has one digit.

q: The whole number is less than 10.

Let the number space is denoted by A:

According to the first statement.

A ∈ {1, 2, 3, 4, 5, 6, 7, 8, 9}

According to the second statement.

The number is x:

x < 10; x is whole number.

≡ A ∈ {1, 2, 3, 4, 5, 6, 7, 8, 9}

Thus, option fourth p ↔q is correct because if p is true then q is true or if q is true then p is true.

Learn more about the logical symbol here:

https://brainly.com/question/11359207

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