Free Algebra
Tutorials!

Try the Free Math Solver or Scroll down to Tutorials!

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:

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: