JAMB 1984 · UME · Q33

Inequalities

Find the integral values of $x$ which satisfy the inequalities $-3 < 2 - 5x < 12$ .

Worked solution (try it first)

Subtract 2 from all three parts: $-5 < -5x < 10$ .
Divide all three parts by $-5$ .
Dividing by a negative reverses the signs: $1 > x > -2$ .
Read from the left: $-2 < x < 1$ .
Both ends are strict, so the integers are $-1$ and $0$ , option C.

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