Question

Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4

a.(-5, 2)

b.(5, -2)

c.(-5, -2)

d.(5, 2)

Answer 1

Why don't you try replacing x and y with the values of the ordered pairs and see which makes a true statement?

Answer 2

Just see for second inequality...
by putting values and check that it must not imply the first equality y=x-5

Answer 3

\[y \le x-5\]
\[2\le -5-2 \]
\[2\le-7\]
False
Move on to the next point

Answer 4

\[y \le x-5\]
\[-2\le 5-2\]
\[-2\le 3\]

Answer 5

True. so try that same point in the second inequality

Answer 6

\[y \ge -x-4\]
\[-2\ge -5-4\]
\[-2\ge -9\]
True. Since that ordered pair makes both sentences true, that must be the answer.