JAMB 1986 · UME · Q19

Inequalities

Find all the numbers $x$ which satisfy the inequality $\frac13(x + 1) - 1 > \frac15(x + 4)$ .

Worked solution (try it first)

Multiply every term by 15, the LCM of 3 and 5: $5(x + 1) - 15 > 3(x + 4)$ .
Expand the brackets: $5x + 5 - 15 > 3x + 12$ , so $5x - 10 > 3x + 12$ .
Subtract $3x$ and add 10 to both sides: $2x > 22$ .
Divide by 2: $x > 11$ , option D.

Report a problem with this question