Graph 2(x-y)<-5

Math
2(x-y)<-5
Solve for y.
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Divide each term by 2 and simplify.
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Divide each term in 2(x-y)<-5 by 2.
2(x-y)2<-52
Cancel the common factor of 2.
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Cancel the common factor.
2(x-y)2<-52
Divide x-y by 1.
x-y<-52
x-y<-52
Move the negative in front of the fraction.
x-y<-52
x-y<-52
Subtract x from both sides of the inequality.
-y<-52-x
Multiply each term in -y<-52-x by -1
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Multiply each term in -y<-52-x by -1. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
(-y)⋅-1>-52⋅-1+(-x)⋅-1
Multiply (-y)⋅-1.
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Multiply -1 by -1.
1y>-52⋅-1+(-x)⋅-1
Multiply y by 1.
y>-52⋅-1+(-x)⋅-1
y>-52⋅-1+(-x)⋅-1
Simplify each term.
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Multiply -52⋅-1.
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Multiply -1 by -1.
y>1(52)+(-x)⋅-1
Multiply 52 by 1.
y>52+(-x)⋅-1
y>52+(-x)⋅-1
Multiply (-x)⋅-1.
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Multiply -1 by -1.
y>52+1x
Multiply x by 1.
y>52+x
y>52+x
y>52+x
y>52+x
y>52+x
Find the slope and the y-intercept for the boundary line.
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Rewrite in slope-intercept form.
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The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder 52 and x.
y>x+52
y>x+52
Use the slope-intercept form to find the slope and y-intercept.
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Find the values of m and b using the form y=mx+b.
m=1
b=52
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
y-intercept: 52
Slope: 1
y-intercept: 52
Slope: 1
y-intercept: 52
Graph a dashed line, then shade the area above the boundary line since y is greater than 52+x.
y>52+x
(5)/(2)+x","isGrey":false,"dashed":false,"holes":[]}],"asymptotes":[],"segments":[],"areaBetweenCurves":[],"points":[],"HasGraphInput":true}” class=”GraphWrapper”>
Graph 2(x-y)<-5

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