Expression 1 : 4x - 7 < x - 2 => $$4x-x$$ < $$7-2$$ => $$3x$$ < $$5$$ => $$x$$ < $$frac{5}{3}$$ ------------(i) Expression 2 : $$5x+frac{2}{3}geq3x+1$$ => $$5x-3x geq 1-frac{2}{3}$$ => $$2x geq frac{1}{3}$$ => $$x geq frac{1}{6}$$ -----------(ii) Combining inequalities (i) and (ii), we get : $$frac{1}{6} leq x$$ < $$frac{5}{3}$$ The only value that $$x$$ can take among the options = 1 => Ans - (D)
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