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Solution
Expression 1 : 2(3x + 5) > 4x - 5
=> $$6x+10$$ > $$4x-5$$
=> $$6x-4x$$ > $$-5-10$$
=> $$2x$$ > $$-15$$
=> $$x$$ > $$\frac{-15}{2}$$ --------(i)
Expression 2 : 4x - 5 < 3x + 2
=> $$4x-3x$$ < $$2+5$$
=> $$x$$ < $$7$$ ---------(ii)
Combining inequalities (i) and (ii), we get : $$\frac{-15}{2}$$ < $$x$$ < $$7$$
The only value that $$x$$ can take = 6
=> Ans - (B)
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