Question 177847
please graph these 
[>] means equal or greater than..
() means absolute value.. thanks for helping 
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Note: You cannot DIRECTLY graph an inequality.  You need to
first graph the EQUALITY that forms its boundary.
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y>= x-5
1st: Graph the line y = x-5 as a dashed line
2nd: Shade the halfplane Above the line because you want the "greater than".
{{{graph(400,300,-10,10,-10,10,x-5)}}}
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3x+y[<]-2 
3x + y <= -2
y <= -3x -2
1st: Graph the line y = -3x -2 as a solid line
2nd: Shade the halfplane below the boundary line because you want "less than".
{{{graph(400,300,-10,10,-10,10,-3x-2)}}}
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y[<]x+2
y <= x + 2
1st: Graph the line y = x + 2 as a solid line.
2nd: Shade the halfplane below the boundary line.
{{{graph(400,300,-10,10,-10,10,x+2)}}}
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y>(x-3)+1
y > |x-3| + 1
1st: Graph the |x-3|+1 as a dashed line.
2nd: Graph the sector above the boundary.
{{{graph(400,300,-10,10,-10,10,abs(x-3)+1)}}}
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Note: This site cannot accept the shading I described.
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Cheers,
Stan H.