1. If 5x-­5 (3x-1) < 4x -1 < 2 + 2x, then x can take which of the following values?





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  • By: anil on 05 May 2019 02.14 am
    Expression 1 : 5x-­5 (3x-1) < 4x -1 => $$5x-15x+5$$ < $$4x-1$$ => $$10x+4x$$ > $$5+1$$ => $$14x$$ > $$6$$ => $$x$$ > $$frac{3}{7}$$ -----------(i) Expression 2 : 4x -1 < 2 + 2x => $$4x-2x$$ < $$2+1$$ => $$2x$$ < $$3$$ => $$x$$ < $$frac{3}{2}$$ ----------(ii) Combining inequalities (i) and (ii), we get : $$frac{3}{7}$$ < $$x$$ < $$frac{3}{2}$$ The only value that $$x$$ can take among the options = 1 => Ans - (B)
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