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

Explanation:

Step1: Check the intersection region

The solution of the system of inequalities is the intersection of the regions of $y\leq -x + 1$ and $y>x$. We can test ordered - pairs in this region.

Step2: Test an ordered - pair

Let's take the point $(-1,0)$. For the first inequality $y\leq -x + 1$, substitute $x=-1$ and $y = 0$: $0\leq-(-1)+1=2$, which is True. For the second inequality $y>x$, substitute $x=-1$ and $y = 0$: $0>-1$, which is True.

Answer:

$(-1,0)$ (There can be other correct ordered - pairs in the intersection region as well, and this is just one example)