Which ordered pair makes both inequalities true? y > –2x + 3 y < x – 2 (0,0) (0,–1) (1,1) (3,0)
2 answers:
Answer:
(3,0)
Step-by-step explanation:
Given system of inequalities,
y > -2x + 3
y < x - 2
At (0,0),
0 > -2(0) + 3 ( False )
0 < 0 - 2 ( False )
At (0, -1),
- 1 > -2(0) + 3 ( False )
-1 < 0 - 2 ( False )
At (1, 1),
1 > -2(1) + 3 ( False )
1 < 1 - 2 ( False )
At (3, 0),
0 > -2(3) + 3 ( True )
0 < 3 - 2 ( True )
Hence, the order pair (3, 0) makes both inequalities true.
Last option is correct.
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