Sign in
Please select an account to continue using cracku.in
↓ →
If 3x-5(x-1) > 2x - 1 < 2 + 4x; then x can take which of the following values?
Expression 1 : 3x-5(x-1) > 2x - 1
=> $$3x-5x+5$$ > $$2x-1$$
=> $$2x+2x$$ < $$5+1$$
=> $$4x$$ < $$6$$
=> $$x$$ < $$\frac{3}{2}$$ -----------(i)
Expression 2 : 2x - 1 < 2 + 4x
=> $$4x-2x$$ > $$-1-2$$
=> $$2x$$ > $$-3$$
=> $$x$$ > $$\frac{-3}{2}$$ ----------(ii)
Combining inequalities (i) and (ii), we get : $$\frac{-3}{2}$$ < $$x$$ < $$\frac{3}{2}$$
The only value that $$x$$ can take among the options = -1
=> Ans - (D)
Create a FREE account and get: