SOLUTION: Graph the inequality -1<y+5x<_11

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Question 1125121: Graph the inequality -1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the inequality:
-1%3Cy%2B5x%3C=11
-5x-1%3Cy%3C=-5x%2B11
first graph two lines,-5x-1=y and y=-5x%2B11
you need two points to graph each line
-5x-1=y if x=0->-1=y=>point:(0,-1)
-5x-1=y if yx=0->5x=-1->x=-1%2F5=>point:(-1%2F5,0)
second line
y=-5x%2B11if x=0->y=11=>point:(0,11
y=-5x%2B11if y=0->5x=11->x=11%2F5=>point:(11%2F5,0

plot points and draw lines through:


since you need -5x-1%3Cy%3C=-5x%2B11, left line on graph above should be dashed because that one is NOT part of solution, right line IS part of solution
your solution will be area between these lines including a line to the right (shade it), like this

372b10bca1ae1158571296bd5cc9b6a7-2