Question

Complete the sentences below by determining whether each point is, or is not, located in the solution region.

Options:
a) The point (-3,2) is located in the solution region.
b) The point (-7,5) is located in the solution region.
c) The point (2,-5) is located in the solution region.
d) The point (-14,6) is located in the solution region.

Answer 1

To determine whether each point is located in the solution region, we need to graph the system of inequalities and plug in the given points. (a) (-3,2) is in the solution region, (b) (-7,5) is not in the solution region, (c) (2,-5) is in the solution region, and (d) (-14,6) is not in the solution region.

Step-by-step explanation:

To determine whether each point is located in the solution region, we need to graph the system of inequalities. Let's consider each point:

a) The point (-3,2) is located in the solution region. When we plug in (-3,2) into the system of inequalities, we find that both inequalities are satisfied.

b) The point (-7,5) is not located in the solution region. When we plug in (-7,5) into the system of inequalities, neither inequality is satisfied.

c) The point (2,-5) is located in the solution region. When we plug in (2,-5) into the system of inequalities, both inequalities are satisfied.

d) The point (-14,6) is not located in the solution region. When we plug in (-14,6) into the system of inequalities, neither inequality is satisfied.