Given: 5x -3(2x-7) > 3x - 1 < 7 + 4x; then x can take which of the following values?

Question 85

Solution

Expression 1 : 5x -3(2x-7) > 3x - 1

=> $$5x-6x+21$$ > $$3x-1$$

=> $$3x+x$$ < $$21+1$$

=> $$4x$$ < $$22$$

=> $$x$$ < $$\frac{11}{2}$$ ----------(i)

Expression 2 : 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)

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