SOLUTION: Please explain this problem step by step Solve each system of inequalities by graphing: 2x+y<(less than or equal to) 4 y+1>(greater than or equal to) -2x

Algebra ->  Linear-equations -> SOLUTION: Please explain this problem step by step Solve each system of inequalities by graphing: 2x+y<(less than or equal to) 4 y+1>(greater than or equal to) -2x      Log On


   

Question 266334: Please explain this problem step by step
Solve each system of inequalities by graphing:
2x+y<(less than or equal to) 4
y+1>(greater than or equal to) -2x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each system of inequalities by graphing:
2x+y<(less than or equal to) 4
y+1>(greater than or equal to) -2x
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ALWAYS graph the boudary of the inequality first:
Graph y = -2x+4 with a solid line because = is included in your equation.
Then shade the area BELOW the boundary because you want y LESS than -2x+4
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B4%2Cy%3C-2x%2B4%29
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Graph y = -2x-1 with a solid line.
Then shade the half-plane ABOVE the boundary because you want y GREATER
than -2x-1
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x-1%2Cy+%3E-2x-1%29
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The solution set is the intersection of the two graphs.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3E=-2x-1%2Cy%3C=-2x%2B4%29
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Cheers,
Stan H.