SOLUTION: 3. Graph on a plane: 3x – 6y < 18

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Question 215259This question is from textbook Intermediate Algebra
: 3. Graph on a plane: 3x – 6y < 18

This question is from textbook Intermediate Algebra

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
3. Graph on a plane: 3x – 6y < 18

Step 1. Before graphing the inequality let's look at the equality 3x-6y=8 which will help graph the inequality

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 3+x+%2B+-6+y+=+18 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F-6.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 18/3 = 6.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 18/-6 = -3.
  • Slope is -3/-6 = 0.5.
  • Equation in slope-intercept form: y=0.5*x+-3.
graph%28+500%2C+500%2C+6-8%2C+6%2B8%2C+-3-8%2C+-3%2B8%2C+0.5%2Ax%2B-3+%29+



Step 2. Now let's graph the inequality

Solved by pluggable solver: Plot Any Inequality
Graphing function y%3Cx%2F2-3:

graph%28+600%2C+600%2C+-2%2C+13%2C+-10%2C+4%2C+y%3Cx%2F2-3+%29



I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J