Question

Can you help me graph and plot on a graph

Answer 1

Part A) Notice that the given inequality is an inclusive inequality, therefore the boundary of its solution set is a solid line.

The equation that represents the boundary of the solution set to the given inequality is:

`y+x=1.`

Setting x=0 in the above equation we get:

`\begin{gathered} y+0=1, \\ y=1. \end{gathered}`

Therefore the boundary passes through (0,1)

Setting y=0 in y+x=1 we get:

`\begin{gathered} 0+x=1, \\ x=1. \end{gathered}`

Therefore the boundary passes through (1,0).

Then the graph of the boundary of the given inequality is:

Part B) Notice that:

`1+1=2\geq1.`

Therefore the point (1,1) is part of the solution set to the given inequality.

Answer: