Kenneth S. answered • 07/05/17
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Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018
In 1, the given ordered pairs is not in the solution set because y = -1 is not ≥3.
In 2, the given y < 0 and the given (7,-4) does satisfy both y<0 and y < x-3.
Kenneth S.
Elaboration: Any given ordered pair that is proposed to be a solution of a SYSTEM of inequalities must be such that when the x and/or y values are substituted into each inequality, the result is a true statement, in both cases.
In short, I believe that the ordered pair in problem 1 is not in the solution set and that the pair (of coordinates) in problem 2 IS in the solution set. For a system of linear inequalities, the solution is that common area determined by the intersection of two half planes, with appropriate boundaries.
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07/05/17
Chris A.
07/05/17