Question

Let p: A triangle is acute.

Let q: A triangle is equilateral.

If q is true, which statements must be true? Select three options.

p ∨ q
p ∧ q
p → q
q → p
q ↔ p

Answer 1

An equilateral triangle has all three angles as 60 degrees, this also makes the triangle an acute triangle.

This makes both p and q true.

P V q is also true, the V means “or”, so if either p or q is true the statement is true

p ∧ q means and, since both p and q are true, this is also true.

The left and right arrows means “implies”, so this is true if and only

if the p is false or q is true (the sentence ((~p)vq) is true). Since Both p and q are true both the left and right arrows are true

The last one means equal and is true if both p and q are the same, which they are, so this is also true,.

All the given statements are true.,