Question 82
If 7 + 4x > 3 + 3x and 3x - 2 < 5 - x; then x can take which of the following values?
Solution
Expression 1 : 7 + 4x > 3 + 3x
=> $$4x - 3x$$ > $$3 - 7$$
=> $$x$$ > $$-4$$ --------------(i)
Expression 2 : 3x - 2 < 5 - x
=> $$3x + x$$ < $$5 + 2$$
=> $$4x$$ < $$7$$
=> $$x$$ < $$\frac{7}{4}$$ -----------------(ii)
Combining inequalities (i) and (ii), we get : $$-4$$ < $$x$$ < $$\frac{7}{4}$$
Thus, $$x$$ can take values = -3 , -2 , -1 , 0 , 1
=> Ans - (C)
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