(a)
(x - 2)(2 - x) > 0
- (x - 2)(x - 2) > 0
- (x - 2)^2 > 0
Since (x - 2)^2 is always positive, there is no solution for this inequality.
(b)
2x^2 + 5x - 3 < 6x^2 + 5x + 1
0 < 4x^2 + 4
0 < 4(x^2 + 1)
Since x^2 is always positive, the inequality is greater than 0 for all values of x.