If 2x - 3 ≤ 5 + x and 5 - x < 1 + 5x; then x can take which of the following values?
Expression 1 : 2x - 3 ≤ 5 + x
=> $$2x-x \leq 5+3$$
=> $$x \leq 8$$ ------------(i)
Expression 2 : 5 - x < 1 + 5x
=> $$5x+x$$ > $$5-1$$
=> $$6x$$ > $$4$$
=> $$x$$ > $$\frac{2}{3}$$ -----------(ii)
Combining inequalities (i) and (ii), we get : $$\frac{2}{3}$$ < $$x \leq 8$$
The only value that $$x$$ can take among the options = 1
=> Ans - (B)
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