If 2 + 4x < 5 - x/2 and 3x + 3 > -5 - 3x; then x can take which of the following values?
Expression 1 : $$2 + 4x < 5 - \frac{x}{2}$$
=> $$4x + \frac{x}{2}$$ < $$5 - 2$$
=> $$\frac{9x}{2}$$ < $$3$$
=> $$x$$ < $$\frac{2}{3}$$ ----------(i)
Expression 2Â :Â $$3x + 3$$ > $$-5 - 3x$$
=> $$3x + 3x$$ > $$-3 - 5$$
=> $$x$$ > $$\frac{-4}{3}$$ ------(ii)
Combining inequalities (i) and (ii), we get : $$\frac{-4}{3}$$ < $$x$$ < $$\frac{2}{3}$$
Thus, only value that $$x$$ can take among the options = -1
=> Ans - (D)
Create a FREE account and get: