WAEC 2022 · Paper 1 · Q37

Solve y+24−y−13>1\dfrac{y + 2}{4} - \dfrac{y - 1}{3} > 1.

Worked solution (try it first)
  1. Multiply every term by 12, the LCM of 4 and 3: 3(y+2)−4(y−1)>123(y + 2) - 4(y - 1) > 12.
  2. Expand, taking care with the minus: 3y+6−4y+4>123y + 6 - 4y + 4 > 12, so −y+10>12-y + 10 > 12.
  3. Subtract 10 from both sides: −y>2-y > 2.
  4. Multiply by −1-1 and reverse the sign: y<−2y < -2, option B.

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