write an equation that has no whole number solution?

Answer 1

-- Any equation that has a negative number or a solution.
-2 + -2 = -4 or -2 * 2 = -4
Since there are no negative numbers in the set of whole numbers any equation with a negative number as its solution can be used to create a nonwhole number solution.

-- Or any equation that has a fraction for a solution.
3/4 = 0.75 or 1.5 + 1.25 = 2.75 or 5 - 3 = -2
In the first case I used two whole numbers to get a nonwhole number solution. In the second case I used two nonwhole numbers to create a nonwhole number. The only way that you can get a nonwhole number answer by using two whole numbers is to either divide them so that a fraction is created or subtract a whole number from another whole number where the second number is greater that the first, as in my third example.

Whole numbers are the set whose members are: (0,1,2,3,4...)
The pattern continues to infinity. So any fraction or any negative number does not exist in that set therefore no whole number will solve the equations I have given as examples above.

The set of Integers = all the whole numbers + all the whole numbers multiplied by -1 or (...-4,-3,-2,-1,0,1,2,3,4...)
The set of Real Numbers = the set of all the Integers with all of the fractions in between those numbers. Which includes most of the numbers you will ever have to work with.

Answer 2

dan s had a long and exhaustive response... but negative numbers are whole numbers as well. whole numbers are anything with no decimals attatched to it. 5 / 6 works. 1 / 2 works. x + 2 = 2.5 works. if you use an equation that just ends up with a negative number... that's just a negative whole number. yeah. good luck.

Answer 3

Any answer with a decimal or fraction for an answer: x +1/3 = 1/2

Answer 4

5/6