Graphing Inequalities

Do Now 7 > 5 7 is greater than 5 18 < 23 -7 < -2 -19 > -23 0 < 6 7 is greater than 5 18 is less than 23 -7 is less than -2 -19 is greater than -23 0 is less than 6

Definitions > : Greater Than < : Less Than Greater Than or Equal To Less Than or Equal To : Use open circle when graphing < or > : Use closed circle when graphing < or >

Real World Applications < A car can drive ____ 55 mph. > You must be ____ 40 in. to go on this ride

Equation vs Inequality There is only one difference between an equation and an inequality: Equation Inequality = > < > < A statement that asserts that two mathematical expressions are equal in value. A statement that uses these symbols to indicate that one quantity is larger or smaller than another.

Graphing the Solution x > 8 1. Draw a number line. You will need a few numbers on either side of the solution number. 8 9 10 11 7 6 5 2. Decide if you need an open or a closed circle and place it on the solution number. 3. Determine which way your arrow goes by substituting a number in for the variable to make the statement true. Then draw the arrow pointing in that direction.

Graphing the Solution x < -6 1. Draw a number line. You will need a few numbers on either side of the solution number. -6 -5 -4 -3 -7 -8 -9 2. Decide if you need an open or a closed circle and place it on the solution number. 3. Determine which way your arrow goes by substituting a number in for the variable to make the statement true. Then draw the arrow pointing in that direction.

Which direction should the arrow go? x >10 10 11 12 13 9 8 7 Open or Closed Circle? Which direction should the arrow go?

When you have ≠, use an open dot and shade both ways! What if x ≠ 2? ≠ : not equal to When you have ≠, use an open dot and shade both ways! 2 3 4 5 1 -1

Independent Group Work Complete the Graphing Inequalities Flip Book and hand it in when you are finished. I will be collecting it to check your work. You will receive a blank copy to complete for homework. It will become a great STUDY TOOL!