Question

what does the inequality 2x-4y>-6 look like on a graph?

Answer 1

Step1:

To graph the inequality 2x - 4y > - 6, first graph the line 2x - 4y = - 6.
Since 2x - 4y > - 6, The graph of 2x - 4y = - 6 is dashed and is not included in the graph of 2x - 4y > - 6.

Then shade region above the line.

Step2:

To know the which section to be shaded use a test point like (0, 0).

2 * 0 - 4 * 0 > - 6 → 0 - 0 > - 6 → 0 > - 6

The statement is true.

So shade the region that contains the pont (0, 0).

Graph: