what does 7x + 9y >=693 look like on a graph

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Jean-Sebastien R. | Math, economics and French tutorMath, economics and French tutor

First let's transform the inequality 7x+ 9y≥693

by subtracting both sides by 7x we have :

9y≥-7x+693

Dividing both sides by 9 it comes y≥-7x⁄9+693

let's consider the linear function y=-7x/9+693.

it is a downward line (y-intercept 693).

Therefore, the solution of the inequality 7x+ 9y≥693 is the area of the plane above the line defined by y=-7x/9+693.

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

Graphical Solution:

7X + 9y ≥ 693

Divide both sides by 63

9x + 7Y ≥ 11

Graph the line 9X + 7Y = 11 , by connecting the intercept points : ( 11/9,0 ), ( 0, 11/7)

Test one point to the left of the line:

say ( 0,0)

Plugging in the inequality:

9(0) + 7(0) = 0 < 11, therefore left side of the line is not the solution.

Mark the right side shaded as the solution.

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