If 3(2 - 3x) < 2 - 3x ≥ 4x -6; then x can take which of the following values?
Expression 1 : 3(2 - 3x) < 2 - 3x
=> $$6-9x$$ < $$2-3x$$
=> $$9x-3x$$ > $$6-2$$
=> $$6x$$ > $$4$$
=> $$x$$ > $$\frac{2}{3}$$ ------------(i)
Expression 2 : 2 - 3x ≥ 4x -6
=> $$4x+3x \leq 2+6$$
=> $$7x \leq 8$$
=> $$x \leq \frac{8}{7}$$ -----------(ii)
Combining inequalities (i) and (ii), we get : $$\frac{2}{3}$$ < $$x \leq \frac{8}{7}$$
The only value that $$x$$ can take among the options = 1
=> Ans - (D)
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