Pre-Algebra Examples

Graph y-5>2(x-5)
Step 1
Solve for .
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Step 1.1
Simplify .
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Step 1.1.1
Rewrite.
Step 1.1.2
Simplify by adding zeros.
Step 1.1.3
Apply the distributive property.
Step 1.1.4
Multiply by .
Step 1.2
Move all terms not containing to the right side of the inequality.
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Step 1.2.1
Add to both sides of the inequality.
Step 1.2.2
Add and .
Step 2
Use the slope-intercept form to find the slope and y-intercept.
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Step 2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2
Find the values of and using the form .
Step 2.3
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Step 3
Graph a dashed line, then shade the area above the boundary line since is greater than .
Step 4