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 The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below? 2x + y 8 E, F, G, H, J E, F, G A, C, D, K A, E, F

Question

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

The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?

2x + y < 10
2x − 4y > 8

 E, F, G, H, J
 E, F, G
 A, C, D, K
 A, E, F

mathmale · Answer

How would you determine whether or not a given point lies on a given line?  Bet you've done this before.

Next question:  How would you determine whether or not a given point satisfies and inequality, such as 2x+y<10?

Suggest that you present the given points symbolically, as (-5,4), not as "negative 5, 4."