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lesya692 [45]
3 years ago
5

Graph the following inequality 6x-2y>8 Please help me and show me how to graph it.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0

Answer:

6x - 2y > 8

<u><em>First, solve the inequality (Isolate the y-variable & put it in function format):</em></u>

<u><em /></u>6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4

<u><em>Second, graph the function y = 3x - 4 on the graph.</em></u>

  • 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.

<u><em>Third, shade in the area below the line(where y-values are smaller).</em></u>

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

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