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Pre-Algebra Examples
Step 1
Step 1.1
Solve for .
Step 1.1.1
Rewrite so is on the left side of the inequality.
Step 1.1.2
Add to both sides of the inequality.
Step 1.1.3
Divide each term in by and simplify.
Step 1.1.3.1
Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Step 1.1.3.2
Simplify the left side.
Step 1.1.3.2.1
Cancel the common factor of .
Step 1.1.3.2.1.1
Cancel the common factor.
Step 1.1.3.2.1.2
Divide by .
Step 1.1.3.3
Simplify the right side.
Step 1.1.3.3.1
Simplify each term.
Step 1.1.3.3.1.1
Cancel the common factor of and .
Step 1.1.3.3.1.1.1
Factor out of .
Step 1.1.3.3.1.1.2
Cancel the common factors.
Step 1.1.3.3.1.1.2.1
Factor out of .
Step 1.1.3.3.1.1.2.2
Cancel the common factor.
Step 1.1.3.3.1.1.2.3
Rewrite the expression.
Step 1.1.3.3.1.2
Move the negative in front of the fraction.
Step 1.1.3.3.1.3
Divide by .
Step 1.2
Reorder terms.
Step 1.3
Remove parentheses.
Step 2
Step 2.1
Find the values of and using the form .
Step 2.2
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