If 5x - 3(4 - x) < 4x - 4 < 4x + 2x/3; then the value of x is
Expression 1Â :Â 5x - 3(4 - x) < 4x - 4
=> $$5x-12+3x$$ < $$4x-4$$
=> $$8x-4x$$ < $$-4+12$$
=> $$4x$$ < $$8$$
=> $$x$$ < $$2$$ -----------(i)
Expression 2Â :Â 4x - 4 < 4x + 2x/3
=> $$\frac{2x}{3}$$ > $$-4$$
=> $$x$$ > $$-6$$ ----------(ii)
Combining inequalities (i) and (ii), we get : $$-6$$ < $$x$$ < $$2$$
The only value that $$x$$ can take among the options = 1
=> Ans - (D)
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