Given: 5x -3(2x-7) > 3x - 1 < 7 + 4x; then x can take which of the following values?
Expression 1Â :Â 5x -3(2x-7) > 3x - 1
=> $$5x-6x+21$$ > $$3x-1$$
=> $$3x+x$$ < $$21+1$$
=> $$4x$$ < $$22$$
=> $$x$$ < $$\frac{11}{2}$$ ----------(i)
Expression 2Â :Â 3x - 1 < 7 + 4x
=> $$4x-3x$$ > $$-1-7$$
=> $$x$$ > $$-8$$ ----------(ii)
Combining inequalities (i) and (ii), we get : $$-8$$ < $$x$$ < $$\frac{11}{2}$$
The only value that $$x$$ can take among the options = -6
=> Ans - (C)
Create a FREE account and get:
