Question

1. Here is a graph of the equation 2y - X = 1:

Answer 1

The given the initial equation

`2y-x=1`

we can determine the part of the graph to be shaded if the equation changes to the inequality:

`2y-x>1`

If we make y the subject of the formula, such that

`2y>1+x`

Then we can put in the values of x and y at (0,0)

so that

`\begin{gathered} 0>1+0 \\ 0>1 \end{gathered}`

we can see that the expression is false because 0 is not greater than 1

Hence, we will shade away from the origin this means that we will shade above the line

The graph is shown below

So for question B

We will shade above the line

Question C

The points on the line are not included because the inequality does not include an equal sign

`\begin{gathered} \text{Assuming the inequality were} \\ 2y-x\ge1 \\ \\ The\text{ points would have been inclusive because this inequality also have an equal sign } \end{gathered}`