JAMB 1991 · UME · Q21

Inequalities

Find the range of values of $x$ which satisfy the inequality $\frac x2 + \frac x3 + \frac x4 < 1$ .

Worked solution (try it first)

Multiply every term by 12, the LCM of 2, 3 and 4: $6x + 4x + 3x < 12$ .
Collect the terms: $13x < 12$ .
Divide by 13: $x < \frac{12}{13}$ , option A.

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