If 2x - 6 ≤ x - 3 and 1+3x < 4x + 4, then x can take which of the following values?
Expression 1 : 2x - 6 ≤ x - 3
=> $$2x-x \leq -3+6$$
=> $$x \leq 3$$ ------------(i)
Expression 2 : 1+3x < 4x + 4
=> $$4x-3x$$ > $$1-4$$
=> $$4x-3x$$ > $$-3$$
=> $$x$$ > $$-3$$ -----------(ii)
Combining inequalities (i) and (ii), we get : $$-3$$ < $$x \leq 3$$
The only value that $$x$$ can take among the options = 2
=> Ans - (D)
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