Question

Let p: A shape is a triangle. Let q: A shape has four sides. Which is true if the shape is a rectangle? p ∨ q p ∧ q p → q q → p

Answer 1

Answer:

Step-by-step explanation:

Let q : The four sides because a rectangle has four sides.

Answer 2

Answer:

The correct options are 1 and 3.

Step-by-step explanation:

Let,

p: A shape is a triangle.

q: A shape has four sides.

It is given that the shape is a rectangle. It means q is true and p is false.

1. p ∨ q is true if and only if p  is true, or q is true.

Here q is true, therefore this option is correct.

2. p ∧ q is true if and only if p is true and q is true.

Here p is false, therefore this option is incorrect.

3. p → q is true if and only if the p is false or q is true.

Here p is false and q is true, therefore this option is correct.

4. q → p is true if and only if the q is false or p is true.

Here p is false and q is true, therefore this option is incorrect.

Therefore the correct options are 1 and 3.