If 5x + 2 < 4x + 1 and 2(x - 4) - 2 ≤ 4x - 1 then x can take which of the following values?
Expression 1 : $$5x + 2 < 4x + 1$$
=> $$5x - 4x$$ < $$1 - 2$$
=> $$x$$ < $$-1$$ ----------(i)
Expression 2 : $$2(x - 4) - 2 \leq 4x - 1$$
=> $$2x - 10 \leq 4x - 1$$
=> $$4x - 2x \geq 1 - 10$$
=> $$x \geq \frac{-9}{2}$$ ------(ii)
Combining inequalities (i) and (ii), we get : $$\frac{-9}{2} \leq x$$ < $$-1$$
Thus, values that $$x$$ can take = -4 , -3 , -2
=> Ans - (D)
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