Solution
Expression 1 : 2(3x -4) - 2 < 4x -2
=> $$6x-8-2$$ < $$4x-2$$
=> $$6x-4x$$ < $$-2+10$$
=> $$2x$$ < $$8$$
=> $$x$$ < $$4$$ ------------(i)
Expression 2 : 4x -2 ≥ 2x - 4
=> $$4x-2x \geq -4+2$$
=> $$2x \geq -2$$
=> $$x \geq -1$$ ------------(ii)
Combining inequalities (i) and (ii), we get : $$-1 \leq x$$ < $$4$$
The only value that $$x$$ can take among the given options = 2
=> Ans - (A)
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