9 6 Solving Inequalities Using Addition and Subtraction

9. 6 Solving Inequalities Using Addition and Subtraction Day 1 Graphing

What symbol is this? 17. 2 > 0. 985 Many students can’t tell them apart. > reater than < ess than

Inequality Symbols 1) “is greater than or equal to” 2) “is less than” 3) “is equal to” 4) “is less than or equal to” 5) “is greater than”

How can you graphically show the following? -5 -4 -3 -2 -1 0 1 2 3 4 5

How to graph inequalities • Place a circle on the # • If it is < or > leave the circle un-shaded, if it is ≤ or ≥ shade the circle • When x is on the left hand side, if it is > or ≥ shade to the right if it is < or ≤ shade to the left

Graph the solution of x < -1 -1 0

Graph the solution of x > -2 -6 -4 -2 0 2 4 6

Graph the solution of x -2 If you have ≤ or ≥ you draw a closed circle -6 -4 -2 0 2 4 6

Write the inequality shown in this graph -6 -4 -2 0 2 4 6

Write an inequality that describes each graph below. 1) 4) -4 -3 -2 -1 0 1 2 3 4 2) -9 5) -4 -3 -2 -1 0 1 2 3 4 3) -4 -3 -2 -1 0 1 2 3 4 0 0 15 6) -24 0

Write an inequality that represents each statement and graph. 1) All real numbers less than or equal to 3. -5 -4 -3 -2 -1 0 1 2 3 4 5 2) All real numbers greater than -2. -5 -4 -3 -2 -1 0 1 2 3) All real numbers less than -4. -5 -4 -3 -2 -1 0 1 2

Write two inequalities for the phrase • All real numbers less than 2 • All real numbers greater than or equal to 0

Homework • Page 478 (1 -7, 12 -28) all

9. 6 Solving Inequalities Using Addition and Subtraction Day 2

Solving Inequalities Solve Mentally Equations Inequalities x+3=5 x+3>5 x=2 x+3=5 Solve Using - 3 -3 Transformations x=2 x is any real number greater than 2. x+3>5 - 3 -3 x>2

Solve the inequalities below and graph. 1) 3) -4 -3 -2 -1 0 1 2 3 4 2) -4 -3 -2 -1 0 1 2 3 4 4) -4 -3 -2 -1 0 1 2 3 4

Solve the inequalities below and graph. 1) 3) 0 20 0 59 4) 2) -18 0 0 24

Homework • Page 479 (29 -43) all