If 6x + 4(2-x) > 3x -2 > 5x/2 - x/4; then value of x is

Expression 1 : 6x + 4(2-x) > 3x -2

=> $$6x+8-4x$$ > $$3x-2$$

=> $$3x-2x$$ < $$8+2$$

=> $$x$$ < $$10$$ -----------(i)

Expression 2 : 3x -2 > 5x/2 - x/4

=> $$3x-2$$ > $$\frac{9x}{4}$$

=> $$3x-\frac{9x}{4}$$ > $$2$$

=> $$\frac{3x}{4}$$ > $$2$$

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

Combining inequalities (i) and (ii), we get : $$\frac{8}{3}$$ < $$x$$ < $$10$$

The only value that $$x$$ can take among the options = 3

=> Ans - (C)