Question 85

If 5 - x > 1 + 3x and 5 + 5x ≥ 2 + 2x; then x can take which of the following values?

Solution

Expression (i) : 5 - x > 1 + 3x

=> 3x + x < 5 - 1, => 4x < 4

=> x < 1

Expression (ii) : 5 + 5x ≥ 2 + 2x

=> 5x - 2x $$\geq$$ 2 - 5, => 3x $$\geq$$ -3

=> x $$\geq$$ -1

Combining above equations, we get = -1 $$\leq x$$ < 1

Thus, x can be either -1 or 0

=> Ans - (D)

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