Question

Graph the inequality on the axes below.y > x + 4

Answer 1

Step 1

Given;

`y>x+4`

Required; To graph the inequality on the axes

Step 2

Since the inequality has a greater than sign and not greater than or equal to sign then we must note that the line of the inequality graph will be broken and not solid.

To graph the inequality, we will use the values of x from -10 to 10.

The table was gotten by substituting for x =-10 to 10

`\begin{gathered} \text{Thus when x=-10} \\ y>-10+4 \\ y>-6 \\ \text{When x=-5} \\ y>-5+4 \\ y>-1 \\ \text{etc.} \end{gathered}`

The area shaded is above because y is greater than the points gotten on the table and the required area must therefore be above the values of y in the table. This is how the graph was gotten.