Question

Which ordered pair makes both inequalities true?

y > –3x + 3

y > 2x – 2

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (1, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 3) and (1, 0). Everything to the right of the line is shaded.
(1,0)
(–1,1)
(2,2)
(0,3)

Answer 1

Check each point:

(1,0): 0 > −3(1)+3 → 0 > 0 (false).
(−1,1): 1 > −3(−1)+3 → 1 > 6 (false).
(2,2): 2 > −3(2)+3 → 2 > −3 (true); 2 > 2 (false if strict equality).
(0,3): 3 > −3(0)+3 → 3 > 3 (false).

If both inequalities are strict (as written), none of the points satisfy both. However the graph description shows the positive‑slope line is solid (so equality allowed) and the negative‑slope line is dashed. Interpreting the solid line as ≥ and the dashed as >, (2,2) satisfies both.

Answer: (2,2).