which ordered pair makes both inequalities true?\n$yleq -x + 1$\n$y>x$

Explanation:

Step1: Test ordered - pairs

We can test some points in the coordinate plane. Let's consider an ordered - pair ((x,y)).

Step2: Check the first inequality (y\leq -x + 1)

For a point ((x,y)), substitute (x) and (y) values into (y\leq -x + 1).

Step3: Check the second inequality (y>x)

Also substitute (x) and (y) values into (y>x). Let's test the point ((0,0.5)): For (y\leq -x + 1), substitute (x = 0) and (y=0.5): (0.5\leq-(0)+1), which is (0.5\leq1) (true). For (y > x), substitute (x = 0) and (y = 0.5): (0.5>0) (true).

Answer:

An example of an ordered - pair that makes both inequalities true is ((0,0.5)) (there are infinitely many such ordered pairs in the overlapping shaded region of the two inequalities' graphs).