Math

posted by .

Meenah made a conjecture that any even number will be divisible by 4. Test her conjecture. Explain whether it is correct or incorrect.

• Math -

Meenah conjecture is either true or false

Assume that it is true, that is, all even numbers are divisible by 4

test some
8/4 = 2 , ok
24/4 = 6
10/4 = 2.5, not exact

Since we assumed it to be true and I found a case which was false, my assumption must have been false.
Since the conjecture is either true OR false, and my assumption that it was true showed up to be wrong, it must be false.

(All we really needed was one single exception)

Similar Questions

1. Geomerty

Find a Counterexample to show that the conjecture is false. Conjecture: Any number that is divisible by 6 is also divisible by 12. A. 36 B. 30 C. 48 D. 60 Im thinking that the answer is B. 30, but i was just making sure.
2. geometry

Elaine factors the numbers 36 and 48. Then she makes this conjecture. “Any multiple of 6 is also a multiple of 12.” Describe what Elaine should do to test her conjecture. Will she find that her conjecture is true or false?
3. geometry

What is a counterexample for the conjecture?
4. math

Test these conjectures. Give three examples. Explain if the conjecture is correct or incorrect. 1. If a number is divisible by 4, it is always an even number._________________________________ 2. All multiples of 5 have a 5 in the ones …
5. geometry

I really need help on this question: Determine whether each conjecture is true or false.Give a counterexample for any false conjecture. Given:Wx=XY Conjecture:W,X,Y are collinear. PlEASE HELP!!!
6. geometry

"Determine whether the conjecture is true or false.Give a counterexample for any false conjecture". Given: x = 5 Conjecture: m = 5 PLEASE HELP!!!
7. Geometry

What is a counterexample of the following conjecture?
8. Math

What is a counterexample for the conjecture?