Question 76

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

Solution

Expression 1 : 4(4x + 5) > 2x - 1

=> $$16x+20$$ > $$2x-1$$

=> $$16x-2x$$ > $$-1-20$$

=> $$14x$$ > $$-21$$

=> $$x$$ > $$\frac{-3}{2}$$ -----------(i)

Expression 2 : 2x - 1 > 4x - 3

=> $$4x-2x$$ < $$3-1$$

=> $$2x$$ < $$2$$

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

Combining inequalities (i) and (ii), we get : $$\frac{-3}{2}$$ < $$x$$ < $$1$$

The only value that $$x$$ can take among the options = 0

=> Ans - (D)


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