Which of the following points are solutions to the system of inequalities shown below? Check all that apply. x + y 5 + 2 y > 2 A. (1, 1) B. (5, 2) C. (2, 5) D. (3, 6) E. (1, -1) F. (2, -5)
The points that are solutions to the system of inequalities x + y 5 + 2 y > 2 below are (5, 2), (3, 6), (1, 1). Options B, C, A, and D. For is mathematically given as
Generally, inequalities are simply defined as the relationship between two non-equal expressions using a symbol like "not equal to," "greater than," or "less than."
In conclusion, The points (5, 2), and (2, 5), (1, 1) are the ones that are the solutions to the system of inequalities x + y 5 + 2 y > 2 below (3, 6).
For (5, 2),
5 + 2 5 + 2 2 > 2
19>2
For (2, 5)
2 + 5 5 + 25 > 2
37>2
For (3, 6).
3 + 65 + 26 > 2
45>2
For (1, 1)
1 + 1 5 + 21 > 2
8>2
For (1, -1)
1 + -1 5 + 2 -1 > 2
-6<2
For (2, -5)
2 + -5 5 + 2-5 > 2
−33<2
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