Question

error analysis describe and correct the error in determining the truth - value of the statement. conditional statement: if a triangle is concave, then a square is a quadrilateral. the hypothesis is false and the conclusion is true, so the conditional statement is false.

Explanation:

In a conditional statement "if p then q", when the hypothesis p is false, the entire conditional statement is true regardless of the truth - value of the conclusion q. Here, the hypothesis "a triangle is concave" is false (triangles are always convex), and the conclusion "a square is a quadrilateral" is true. So the conditional statement should be true, not false as wrongly determined.

Answer:

The error is misinterpreting the truth - value of a conditional statement. When the hypothesis of a conditional statement is false, the conditional statement is true. So the correct truth - value of the statement "If a triangle is concave, then a square is a quadrilateral" is true.