(2, 7) are the coordinate which ordered pair is a solution to the following system of inequalities [tex]y \leq -x^2 + 8x \\[/tex] and [tex]y > x^2 - 3[/tex].
Inequality is defined as the relation which makes a non-equal comparison between two given functions.
we want to find which ordered pair is a solution to the following system of inequalities.
[tex]y \leq -x^2 + 8x \\[/tex]
[tex]y > x^2 - 3[/tex]
The solution of a inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the inequality is the graph of all solutions of the system.
Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.
[tex]y \leq -x^2 + 8x \\\\y = -x^2 + 8x\\\\y > x^2 - 3\\\\[/tex]
x = 2 and y = 7
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