SOLUTION: 4x-3y<8

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Question 667821: 4x-3y<8
Found 2 solutions by ReadingBoosters, tam144:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
In slope-intecept form?
4x - 3y < 8
...
Isolate y
-3y < -4x + 8
...
Divide both sides by -3 (note the sign change for dividing by a negative)
highlight_green%28y+%3E+%284%2F3%29x+-+8%2F3%29
...
Solving for x?
4x < 8 + 3y
Divide both sides by 4
highlight_green%28x+%3C+8%2F3+%2B+%283%2F4%29y%29
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Answer by tam144(6) About Me  (Show Source):
You can put this solution on YOUR website!
The best way is to solve it by graphing.
4x - 3y - 8 < 0 (1)
First graph the linear function: f(x,y) = 4x - 3y - 8 = 0.
When x = 0 ---> y = -8/3
When y = 0 ---> x = 2.
The graph is the line passing at 2 points A(0, -8/3) and B(2, 0).
Now use the check point method to find the area that is the solution set.
Check with the origin O. Substitute x = 0 and y = 0 into the inequality (1). We get -8 < 0. It is true, then the area containing the origin is the solution set.
Re-check with the point (3, 0). Substitute y = 0 and x = 3 into the inequality (1). We get: 12 - 8 < 0. It is not true, then the other area is the answer.