Graph the point and check if it is within the shaded area.
No
Practice makes perfect
We are asked to determine whether the point (- 4, 3) is the solution of the given system of inequalities. First, let's recall what it means for a point to be a solution of a system of inequalities. If a point is a solution of a system of inequalities, the point is a solution of every inequality in the system. If we represent the system graphically, it means that the point is part of the shaded region.
Now let's graph the ordered pair (- 4,3) and the given system of inequalities on the same coordinate plane. If the ordered pair lies within the shaded area, it is a solution of the system.
The given point lies on a solid line, which means that it is a solution of the inequality represented by this line. However, since the point lies outside of the shaded area, it can not be a solution of the second inequality. The ordered pair (- 4,3) is not a solution of the system.
