NECO 2023 · Paper 1 · Q24

Which of the regions U, V, X, Y, Z shown satisfies the inequalities 0<y<20 < y < 2, y<3+xy < 3 + x, x<0x < 0?

y = 2y = 3 + x320UVXYZ
Worked solution (try it first)
  1. 0<y<20 < y < 2 puts the region between the xx-axis and the line y=2y = 2.
  2. That rules out U, V and X.
  3. x<0x < 0 puts it to the left of the yy-axis, and both Y and Z are there.
  4. y<3+xy < 3 + x puts it below, that is to the right of, the slanted line.
  5. Only Z is on that side, so option E.

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