Equations Inequalities And Problem Solving

If you get a false statement, then the ordered pair is not a solution.

Take a look at this tutorial and learn how to determine if an ordered pair is a solution to an inequality!

So, you proceeded to subtract 2 from both sides of the equation remembering that to keep an equation equal, whatever you do to one side you also must do to the other.

After subtracting 2 from both sides, your variable is alone and you have solved the linear equation. Now, let's say you are given a problem like x 2 You first solve the inequality by dividing each side of the inequality by -3. Now, flip the symbol to get your solution: x less than or equal to -2.

Then draw a straight line up and down that goes through the point, and you're done!You will also learn the notations you need to use when graphing linear inequalities.A linear inequality is very similar to a linear equation.Need some practice translating phrases into mathematical expressions? You'll get practice translating statements involving addition, subtraction, multiplication, or division into mathematical expressions.Inequalities come up all the time when you're working algebra problems.As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.Plus, get practice tests, quizzes, and personalized coaching to help you succeed.The main difference is you flip the inequality sign when dividing or multiplying by a negative number.Graphing linear inequalities has a few more differences.Think about the linear inequality and what it says. The region above the line gives you y values that are larger, and so that is what gets shaded.Solving linear inequalities is very similar to solving linear equations.

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