Is |x-2|<1?

Statement A: |x|<1

Statement B: |x-1|<2

If $\left(243{)}^x\right(463{)}^y$ = n, where x and y are positive integers, what is the units digit of n?

Statement A: x + y = 7

Statement B: x = 4

The cubic equation $x^3-a{x}^2+bx-8=0$ has positive roots. Find the value of b?

Statement A: a = 6

Statement B: a is minimum

Can N be written as N = $x^2-y^2$ where x and y are whole numbers?

Statement A: N is a prime number.

Statement B: N is an even number not divisible by 4.

Does the equation y = (x - a)(x - b) intercept the x-axis at the point (2,0)?

(1) ab = -8

(2) -2 - a = b

(2) $|X{|}^Y$ is a non-zero integer