Question

Graph the following inequality 6x-2y>8

Please help me and show me how to graph it.

Answer 1

6x - 2y > 8

First, solve the inequality (Isolate the y-variable & put it in function format):

`6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < (6x-8)/(2) \\y < 3x - 4`

Second, graph the function y = 3x - 4 on the graph.

• It should be linear.
• Because the inequality is < and not ≤, the values on the line aren't included in the solution, so your line should be dotted, not solid.

Third, shade in the area below the line(where y-values are smaller).

• Since the inequality is <, that means the solutions are smaller than the solutions of the function 3x - 4.