SOLUTION: 1. Is the inequality -x-4y>3 in the correct form for graphing? Briefly explain. 2. Graph and Solve the following system of inequalities. y<2x+3 y&#8805; -x

Algebra ->  Graphs -> SOLUTION: 1. Is the inequality -x-4y>3 in the correct form for graphing? Briefly explain. 2. Graph and Solve the following system of inequalities. y<2x+3 y&#8805; -x       Log On


   



Question 668290: 1. Is the inequality -x-4y>3 in the correct form for graphing? Briefly explain.

2. Graph and Solve the following system of inequalities.
y<2x+3
y≥ -x

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
1. No, it is not in the y = mx+b slope-intercept form for graphing.
-4y > 3 + x
y < %28-1%2F4%29x+%2B+%28-3%2F4%29
...
2. Solving the inequalities, set them equal to each other to solve for x.
2x+3 = -x
2x + x = -3
3x = -3
x = -1
...
Use x to solve for y and confirm.
y < 2(-1) + 3 = 1
y >= -(-1) = 1
...
Solution
(-1, 1)
...
Graph
Red line: highlight%28y%3C2x%2B3%29
Use dashed lines and shade below it.
..
Green line: highlight_green%28y+%3E=+-x%29
Use a solid line and shade above it
...
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C2x%2B3%2C-x%29
.....................
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