1. GRAPHING INEQUALITIES OBJECTIVE: SWBAT WRITE AND GRAPH INEQUALITIES IN ONE VARIABLE

2. REVIEW OF THE SYMBOLS - FOLDABLE FOLD PAPER THE HAMBURGER WAY (ALONG THE LINE IN THE MIDDLE) CUT ALONG THE DOTTED LINE (ONLY THROUGH THE TOP HALF!) PASTE INTO YOUR NOTEBOOK AND GIVE THE PAGE A TITLE WRITE THE SYMBOLS ON THE OUTSIDE FLAPS SO YOUR PAPER LOOKS LIKE THIS 

3. DOES ORDER MATTER? IS IT OK TO HAVE THE NUMBER COME BEFORE THE VARIABLE? EX: 5<X? YES! WHAT DOES THIS MEAN? 5 IS LESS THAN ALL THE POSSIBLE X VALUES. IN OTHER WORDS, X MUST BE GREATER THAN 5 USUALLY WE LIKE TO WRITE IT WITH THE VARIABLE FIRST, SO IT WOULD BE X>5 THIS LEADS US TO…. If you ‘flip flop’ the sides of an inequality, you must ‘flip flop’ the inequality symbol too!

4. FIRST DRAW A SMALL CIRCLE OVER THE NUMBER INDICATED IN THE INEQUALITY WHAT TYPE OF CIRCLE? LESS THAN OR EQUAL TO/GREATER THAN OR EQUAL TO  FILL THE CIRCLE IN LESS THAN/GREATER THAN/NOT EQUAL TO  LEAVE THE CIRCLE OPEN 4 5 6 7 8 9 10

5. WHICH DIRECTION TO SHADE? THINK ABOUT WHAT VALUES FOR THE VARIABLE ARE POSSIBLE, AND SHADE ALL THOSE VALUES IF YOUR INEQUALITY IS IN VARIABLE-SYMBOL-NUMBER ORDER GREATER THAN/GREATER THAN OR EQUAL TO  SHADE RIGHT LESS THAN/LESS THAN OR EQUAL TO  SHADE LEFT NOT EQUAL TO  SHADE BOTH 4 5 6 7 8 9 10

6. EXAMPLES

7. WRITING INEQUALITIES FROM A GRAPH FIRST WRITE YOUR VARIABLE DOWN LEAVE A SPACE FOR THE SYMBOL AND THEN WRITE THE NUMBER WHERE THE CIRCLE IS LOCATED LOOK AT WHICH DIRECTION IT IS SHADED LEFT  LESS THAN RIGHT  GREATER THAN BOTH  NOT EQUAL TO -12 -11 -10 -9 -8 -7 -6 x -9 < LOOK TO SEE IF THE CIRCLE IS OPEN OR CLOSED OPEN  LEAVE THE SYMBOL ALONE CLOSED  ADD THE “OR EQUAL TO” LINE BELOW THE SYMBOL

8. EXAMPLES: 1. 2. 3. 4. 13 1415 16 17 18 19 -3 -2-1 0 1 2 3 45 5060 70 80 90 100 137 138 139 140 141 142 143 WRITE THE INEQUALITY SHOWN ON THE NUMBER LINE