Question 84
If 3x + 2 < 2x + 1 and x - 4 ≤ 2x - 1; then x can take which of the following values?
Solution
Expression 1 : 3x + 2 < 2x + 1
=> $$3x-2x$$ < $$1-2$$
=> $$x$$ < $$-1$$ ------------(i)
Expression 2 : x - 4 ≤ 2x - 1
=> $$2x-x \geq -4+1$$
=> $$x \geq -3$$ ------------(ii)
Thus, combining inequalities (i) and (ii), we get : $$-3 \leq x$$ < $$-1$$
The only possible value that $$x$$ can take among the given options = -2
=> Ans - (A)
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