If 2x+ 4(x - 3) < -2 - x < 2x - 1, then find the value of x.

Question 71

Solution

Expression 1 : $$-2 - x < 2x - 1$$

=> $$2x + x$$ > $$1 - 2$$

=> $$x$$ > $$\frac{-1}{3}$$ ----------(i)

Expression 2 : $$2x + 4(x - 3) < -2 - x$$

=> $$6x - 12$$ < $$-2 - x$$

=> $$6x + x$$ < $$12 - 2$$

=> $$x$$ < $$\frac{10}{7}$$ ------(ii)

Combining inequalities (i) and (ii), we get : $$\frac{-1}{3}$$ < $$x$$ < $$\frac{10}{7}$$

Thus, only value that $$x$$ can take among the options = 1

=> Ans - (B)

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