Solving Compound Linear Inequalities

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Enter expression, e.g. (x^2-y^2)/(x-y)

Enter expression, e.g. x^2+5x+6

Enter expression, e.g. (x+1)^3

Enter a set of expressions, e.g. ab^2,a^2b

Enter equation to solve, e.g. 2x+3=4

Enter equation to graph, e.g. y=3x^2-1

Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

Solve for:

Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

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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.