If 5 ­- 3x < 4 ­- x and 5(2 -­ x) > 2 -­ 2x, then x can take which of the following values?

Expression 1 : 5 ­- 3x < 4 ­- x

=> $$3x-x$$ > $$5-4$$

=> $$2x$$ > $$1$$

=> $$x$$ > $$\frac{1}{2}$$ ------------(i)

Expression 2 : 5(2 -­ x) > 2 -­ 2x

=> $$10-5x$$ > $$2-2x$$

=> $$5x-2x$$ < $$10-2$$

=> $$3x$$ < $$8$$

=> $$x$$ < $$\frac{8}{3}$$ --------------(ii)

Combining inequalities (i) and (ii), we get : $$\frac{1}{2}$$ < $$x$$ < $$\frac{8}{3}$$

The only value that $$x$$ can take among the given options = 1

=> Ans - (C)