Post on 18-Jan-2016
Solving Inequalities and their Solving Inequalities and their GraphsGraphs
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Inequalities and their GraphsInequalities and their Graphs
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What is a good definition for Inequality?
An inequality is a statement that two expressions are not equal
SymbolsSymbols
Less than
Greater than
Less than OR EQUAL TO
Greater than OR EQUAL TO
Solving Inequalities Solving Inequalities
• When you are solving inequalities using addition and subtraction, you use the same steps you would use to solve equations.
• Once you find a solution of an inequality, you graph the solution using a number line.
Terms you see and need to know to graph inequalities correctly
Notice open circles– only if it’s greater or less than.
< less than
> greater than
Terms you see and need to know to graph inequalities correctly
Notice colored in circles– only if its equal to or less than/greater than
≤ less than or equal to
≥ greater than or equal to
Your solutions can have a range of answers……
-5 -4 -3 -2 -1 0 1 2 3 4 5
All real numbers less than 2
x< 2
Inequalities and their GraphsInequalities and their Graphs
Let’s work a few together
3
Notice: when variable is on left side, sign shows direction of solution
Inequalities and their GraphsInequalities and their Graphs
Let’s work a few together
-2
Notice: when variable is on left side, sign shows direction of solution
Color in circle
Solving an InequalitySolving an Inequality
Solving a linear inequality in one variable is much like solving a linear equation in one variable. Isolate the variable on one side using inverse operations.
x – 3 < 5Solve using addition:
+3 +3
x < 8
Solving Using SubtractionSolving Using Subtraction
Subtract the same number from EACH side.
4x-6 -6
-5 -4 -3 -2 -1 0 1 2 3 4 5
Solve then graph the solution.