If 3x + 4(1-x) > 5x -2 > 3x - 4; then the value of x is

Question 77

Solution

Expression 1 : $$5x - 2$$ > $$3x - 4$$

=> $$5x - 3x$$ > $$2 - 4$$

=> $$2x$$ > $$-2$$

=> $$x$$ > $$-1$$ ----------(i)

Expression 2 : $$3x + 4(1 - x)$$ > $$5x - 2$$

=> $$-x + 4$$ > $$5x - 2$$

=> $$5x + x$$ < $$4 + 2$$

=> $$6x$$ < $$6$$

=> $$x$$ < $$1$$ ------(ii)

Combining inequalities (i) and (ii), we get : $$-1$$ < $$x$$ < $$1$$

Thus, only value that $$x$$ can take = 0

=> Ans - (C)

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