Given: 2x - 4 ≤ 2 - x/3 and 2(2x + 5) > 3x - 5, then x can take which of the following values?
Expression 1 : 2x - 4 ≤ 2 - x/3
=> $$2x+\frac{x}{3} \leq 2+4$$
=> $$\frac{7x}{3} \leq 6$$
=> $$x \leq \frac{18}{7}$$ ------------(i)
Expression 2 : 2(2x + 5) > 3x - 5
=> $$4x+10$$ > $$3x-5$$
=> $$4x-3x$$ > $$-5-10$$
=> $$x$$ > $$-15$$ -----------(ii)
Combining inequalities (i) and (ii), we get : $$-15$$ < $$x \leq \frac{18}{7}$$
The only value that $$x$$ can take among the options = -14
=> Ans - (A)
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