which ordered pair makes both inequalities true?\ny ≤ -x + 1\ny > x

Explanation:

Step1: Test an ordered - pair

Let's take an ordered pair ((x,y)) and check it in both inequalities. For example, if we take ((0,0.5)).

Step2: Check in (y\leq -x + 1)

Substitute (x = 0) and (y=0.5) into (y\leq -x + 1). We get (0.5\leq-(0)+1), which simplifies to (0.5\leq1), this is true.

Step3: Check in (y>x)

Substitute (x = 0) and (y = 0.5) into (y>x). We get (0.5>0), which is true.

Answer:

((0,0.5)) (Note: There are multiple correct answers in the overlapping shaded region of the two inequalities on the graph, and ((0,0.5)) is just one example)