Question 58

If 5x + 5 > 2 + 2x and 5x + 3 ≤ 4x + 5; then x can take which of the following values?

Solution

Expression 1 : 5x + 5 > 2 + 2x

=> $$5x - 2x$$ > $$2 - 5$$

=> $$3x$$ > $$-3$$

=> $$x$$ > $$-1$$ -------------(i)

Expression 2 : 5x + 3 ≤ 4x + 5

=> $$5x - 4x \leq 5 - 3$$

=> $$x \leq 2$$ ------------(ii)

Combining inequalities (i) and (ii), => $$-1$$ < $$x \leq 2$$

Thus, the values that $$x$$ can take = 0 , 1 , 2

=> Ans - (D)

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