WRITE THE NEGATION OF THE STATEMENT. NO UNICYCLES HAVE THREE WHEELS. CHOOSE THE

Question

WRITE THE NEGATION OF THE STATEMENT. NO UNICYCLES HAVE THREE WHEELS. CHOOSE THE CORRECT ANSWER BELOW. 1). NOT ALL UNICYCLES HAVE THREE WHEELS 2). ALL UNICYCLES HAVE THREE WHEELS. 3). SOME UNICYCLES HAVE THREE WHEELS. 4). SOME UNICYCLES DO NOT HAVE THREE.

TWO SEPARATE QUESTIONS

DETERMINE THE TRUTH VALUE FOR EACH SIMPLE STATEMENTS. THEN USING THE TRUE VALUES, DETERMINE THE TRUE VALUES OF THE COMPOUND STATEMENT.

IF 6 2 ON TOP = 36, THEN / DIVIDE BY 36 =

IS THE COMPOUND STATEMENT TRUE OR FALSE

TRUE

FALSE

Explanation / Answer

The given Statement is " No uniycles have three wheels".

This is equivalent to say that there does not exist a unicycle which has three wheels. Negating this statement would mean that we say,

There exists a unicycle that has three wheels.

Hence the negation of the statement would be, "There exists a unicycle that has three wheels".

This negated statement is equivalent as saying that

Not all Unicycles have three wheels, since we have at least one which has three wheels.

Hence, the correct option is 1) "Not all unicycles have three wheels."

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