Question $8(10$ points$)$

Which of the following is the proper way to begin a proof by contradiction of the

theorem $"AAnQ,$EEqinQ,$p0q=\frac{1}{p}"?$

Suppose that every nonzero rational number is the reciprocal of some rational

number

Suppose there is some nonzero rational number that is not the reciprocal of any

rational number

Suppose that every nonzero rational number is not the reciprocal of any rational

number

Suppose that some nonzero rational number is the reciprocal of some rational

number