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 Depdendent Variable

 Number of equations to solve: 23456789
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 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

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 Ineq. #9:

 Solve for:

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# Solving Compound Linear Inequalities

Example

Solve:   Then, graph the solution on a number line.

 Solution To clear the fractions, multiply each part by the LCD, 6. Simplify. 3y < ≤ 12 + 3y Distribute. Add 2 to each part. Subtract 3y from each part. 3y < 3y + 2 < 2 < 4y - 2 4y y ≤ 12 + 3y≤ 14 + 3y ≤ 14

To graph the solution, place an open circle at 2 and a closed circle at 14.

Then, shade the region between the plotted points.