Activity 3 Do the steps to be able to graph 5x – 3y < 15 1. Change the inequality to equation - - 2. Solve for the x- and y-intercepts For x-intercept, let y=0 For y- intercept, let x=0 y- 5x – 3y = 15 5x – 3y = 15 5x - 30_)=15 5(_) - 3y = 15 5x - - 3y = 15 5x = 15 -3y = 15 -3y = 15 5x 15 15 X = у 3. Locate the intercepts in the Rectangular Plane 4. Draw the boundary line by connecting the intercepts. 5. Choose the region to be shaded by using the testing point (0, 0).
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Answer:
1.) Change the inequality to equation 5x - 3y = 15
2.) Solve for the x- and y-intercepts
For x-intercept, let y=0
5x - 3y = 15
5x - 3(0) = 15
5x - 0 = 15
5x = 15
x = 3
For y-intercept, let x=0
5x - 3y = 15
5(0) - 3y = 15
0 - 3y = 15
-3y = 15
y = 5
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