The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
y > −2x + 10
y > 1 over 2x − 2
coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
Point J at (7, -4) is a solution to the system of inequalities.
To find a point that is a solution to the system of inequalities, we need to look for a point on the coordinate grid that satisfies both inequalities.
The first inequality is y > -2x + 10.
Points that satisfy this inequality are the ones above the line -2x + 10.
The second inequality is y > 1/(2x - 2).
Points that satisfy this inequality are the ones above the curve 1/(2x - 2).
Looking at the plotted ordered pairs on the coordinate grid, point C at (-2, 7) is above both the line and the curve. Therefore, point C is a solution to the system of inequalities.