Question

In the coordinate grid showing points A through K, which point is a solution to the system of inequalities:

ys - 2x + 10
y > x - 2

a) A
b) B
c) K
d) None of the above

Answer 1

Point A is a solution to the system of inequalities ys - 2x + 10 y > x - 2.

Step-by-step explanation:

To find the point that is a solution to the system of inequalities, we need to check each point on the coordinate grid and see if it satisfies both inequalities.

Let's start by substituting the coordinates of point A (-4, 3) into the first inequality:

3s - 2(-4) + 10 > -4 - 2
6s + 18 > -6
6s > -24
s > -4

Now let's substitute the coordinates of point A into the second inequality:

3 > -4 - 2
3 > -6
This is true.

Therefore, point A is a solution to the system of inequalities.