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

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 

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!

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

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

EXAMPLES

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 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

EXAMPLES: WRITE THE INEQUALITY SHOWN ON THE NUMBER LINE