Free Algebra Tutorials!

Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

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

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 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:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Solving Linear Inequalities with Fractions

Example

An inequality with fractions

Solve State and graph the solution set.

Solution

First multiply each side of the inequality by 6, the LCD:  Original inequality  Multiplying by positive 6 does not reverse the inequality 3x - 4 ≤ 6x + 8 Distributive property 3x ≤ 6x + 12 Add 4 to each side -3x ≤ 12 Subtract 6x from each side x ≤ -4 Divide each side by -3 and reverse the inequality

The solution set is the interval [-4, ∞). Its graph is shown below: 