2. Solving Linear Inequalities
The procedure for solving linear inequalities in one variable is similar to solving basic equations. (See Solving Equations.)
We need to be careful about the sense of the equality when multiplying or dividing by negative numbers.
Following are several examples of solving equations involving inequalities.
Solve x + 2 < 4
Solve 2x ≤ 4
Solve the inequality 3 − 2x ≥ 15
Solve the inequality `3/2(1-x)>1/4-x`
Inequalities with Three Members
Solve −1 < 2x + 3 < 6
Solve 2x < x − 4 ≤ 3x + 8
Solve the following inequalities for x:
1. Solve 3 − 3x < − 1
2. Solve −2(x + 4) > 1 − 5x
3. Solve `x/5-2>2/3(x+3)`
4. Solve x − 1 < 2x + 2 < 3x + 1
Didn't find what you are looking for on this page? Try search:
Online Algebra Solver
This algebra solver can solve a wide range of math problems. (Please be patient while it loads.)
Go to: Online algebra solver
Ready for a break?
Play a math game.
(Well, not really a math game, but each game was made using math...)
The IntMath Newsletter
Sign up for the free IntMath Newsletter. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!
Short URL for this Page
Save typing! You can use this URL to reach this page:
Algebra Lessons on DVD
Easy to understand algebra lessons on DVD. See samples before you commit.
More info: Algebra videos