If 3x - 1 < 5x + 2 and 3x + 5 < 6 - 4x; then x can take which of the following values?
Expression 1 : 3x - 1 < 5x + 2
=> $$5x-3x$$ > $$-1-2$$
=> $$2x$$ > $$-3$$
=> $$x$$ > $$\frac{-3}{2}$$ ------------(i)
Expression 2 : 3x + 5 < 6 - 4x
=> $$3x+4x$$ < $$6-5$$
=> $$7x$$ < $$1$$
=> $$x$$ < $$\frac{1}{7}$$ --------------(ii)
Combining inequalities (i) and (ii), we get : $$\frac{-3}{2}$$ < $$x$$ < $$\frac{1}{7}$$
The only value that $$x$$ can take among the given options = -1
=> Ans - (A)
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