3-1 & 3-2 Inequalities & Their Graphs

3-1 Inequalities & Their Graphs

3-2 Solving Inequalities by Addition or Subtraction

Inequality

• A mathematical sentence that uses an inequality symbol to compare the values of two expressions.

• You can use a number line to visually represent the values that satsify the inequality.

Solution of an Inequality

• Any number that makes the inequality true.

• The solutions of an inequality x < 5 are all real numbers x that are less than 5.

Multiple Select

Consider the numbers -1, 0, 1, and 3. Which are solutions of

 $13-7y\le6$  ?

• -1

• 0

• 1

• 3

Graphing an Inequality

• You can use a graph to indicate all of the solutions of an inequality.

• Open dot shows that a number is not a solution of the inequality.

• Closed dot shows that a number is a solution of the inequality.

Multiple Choice

Which is the graph of the inequality: ?

 $x>-4$  

Multiple Choice

From the previous slide, what is the correct inequality?

• $x\le-3$

• $x\le-3$

• 
  

  $x<-3$
  

• $x\ge-3$