Question

Which of the following has no solution?

(x + 1<-1) n (x + 1< 1)
(x + 1 s 1) n (x + 12 1)
(x +1<1) n (x + 1 > 1)

Answer 1

(x + 1 s 1) n (x + 12 1)

(x +1<1) n (x + 1 > 1)

Explanation:

Just simplify each the statements.

Then compare and and see if the statements are contradictory and therefore FALSE, if so, then there is no solution.

(x + 1<-1) n (x + 1< 1)

(x <-2) n (x < 0) which is true, so there is a solution.

(x + 1 s 1) n (x + 12 1)

this doesn't make sense so there is no solution.

(x +1<1) n (x + 1 > 1)

(x < 0) n (x > 0)

This is not possible, the statements are contradictory and therefore FALSE, so there is no solution.