Free Algebra
Try the Free Math Solver or Scroll down to Tutorials!












Please use this form if you would like
to have this math solver on your website,
free of charge.

Solving Linear Inequalities with Fractions


An inequality with fractions

Solve State and graph the solution set.


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:

All Right Reserved. Copyright 2005-2018