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It says to graph the region described by the inequality

3x-5y<25

Sagot :

Okay. In order to make it easy to work with, switch around the function so that it's in slope-intercept form. Pretend that it's an equation.

3x-5y=25 3x=25 + 5y  3x-25 = 5y   5y = 3x - 25  y = 3/5x - 5      y > 3/5x - 5

You will then graph this line on your coordinate plane. However, make sure the line is dashed because the points on the line are not part of the solution when you use the < symbol. You then test the inequality by choosing a point to test that is not on the line. A go-to point is the origin (0,0). 0 > 3/5(0) - 5 0 > -5 Since this is a valid inequality, shade in the section that covers the origin (the part above the line). That is how you graph the inequality.
Panoyinidn
3x - 5y < 25
3x - 3y - 5y < 25 - 3y
-5y < 25 - 3y
 -5        -5
   y < -5 + 3/5x
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