Question

graph the inequality.write two ordered pairs that are solutions write two ordered pairs that are not solutions

Answer 1

So,

We want to graph the inequality given by the equation:

`y\leq5x+4`

Two ordered pairs (x,y) that are solutions could be:

`\begin{gathered} (x,y)=(0,4) \\ (x,y)=(-1,-1) \end{gathered}`

As you can see,

`\begin{gathered} 4\leq5(0)+4 \\ 4\leq4 \\ -1\leq5(-1)+4 \\ -1\leq-1 \end{gathered}`

Both pairs satisfy the expression.

Now, we're going to graph the inequality plotting both ordered pairs to form the line y=5x+4. The graph will be the set of all values under this line. This is:

Finally, two ordered pairs that are NOT solutions could be (-3,7) and (-6,1) for example.