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Graphing Inequities

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Please help knowing what to graph (see the attachment).

1. Graph: Y ≤ 3x-6

2. Graph: -4x ≥ 5y

3. Graph: -8x ≤ 2y.

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Solution Summary

This solution is comprised of a detailed explanation to help knowing what to graph.

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Explanation with the related graphs are in the attached file.

1. Y ≤ 3x-6

- Fist of all this is an inequity; not an equation. To draw an inequity graph we should first assume that its an equation and temporarily replace ≤ with =

So our equation becomes Y=3x-6

- Now we need to find the coordinates that cut x and y axis on a graph . To find these we need to give 0 value to x or y

If we assume Y= 0 then 3x-6=0 and x=2 and our first coordinate is (2,0) on a graph

- Then we need to find the coordinate where x=0

If we assume x=0 then y = -6 and our second coordinate is (0,-6) on a graph

- We found the two coordinates that cuts our y and ...

Solution provided by:
  • BSc, Dokuz Eylul University
  • MBA, Texas A&M University-Kingsville
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