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 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

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 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

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

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

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# Solving Compound Linear Inequalities

Example

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

 Solution x < ≤ x + 3 To clear the fractions, multiply each part by the LCD, 5. 5 Â· [x] < ≤ 5 Â· [x + 3] Distribute. Subtract 4 from each part. Simplify. Subtract 5x from each part. Simplify. 5x < 5x - 4 < 5x - 4 < 5x - 4 - 5x < -4 < 7x + 4 7x + 4 - 4 7x 7x - 5x 2x ≤ 5x + 15 ≤ 5x + 15 - 4 ≤ 5x + 11 ≤ 5x + 11 - 5x ≤ 11 Divide each part by 2. < ≤ Simplify. -2 < x ≤

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

Then, shade the region between the plotted points.