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)

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)

mertsj · Answer

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

anonymous · Answer

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

mertsj · Answer

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

mertsj · Answer

$$y \le x-5$$
$$-2\le 5-2$$
$$-2\le 3$$

mertsj · Answer

True.  so try that same point in the second inequality

mertsj · Answer

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