Agenda Monday, Nov. 23

Homework 8 p. 136 # 12 - 20

p. 142 # 10 - 14, 39, 77, 79

p. 149 # 13 - 20, 29, 30

Don't panic, we will have some time in Flex to get started.

Daily Scribe? Monday _____________ Tuesday ____________

Tutors? need papers today

Chapter Three - Inequalities: graphs & solutions

ADVISORYYou must be at least 35 inches tall in order to ridePirate Lagoon.

Express this statement using algebra

Let x represent the height.

x ≥ 35The Management

36" 35" 34"

Which of the triplets can ride?

x ≥ 35

Which graph represents the inequality x ≥ 35

x > 35

x < 35

x ≤ 35

Match the inequality to the graph

x ≥ 35

x ≥ 35

x ≤ 35

x > 35

x < 35

x < 45

x ≥ 25

x ≤ -5

x > -2

Graph these inequalities on the number line

x < 45

x ≥ 25

x ≤ -5

x > -2

Solution

2x + 1 ≤ 5

x + 5 > 11

Identify the values which make the inequality true

}{{7,8,9,10}

{-5,-4,-3,-2,-1,0,1,2}

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

-5 -4 -3 -2 -1 0 1 2 3 4 5

}{

3x - 4 > 14

x + 4 ≤ 3

Solve these inequalities

5Solve as inequality thesame way you would solve a linear equation.Instead of "=" you have">, <, ≥ or ≤".

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

3x - 4 + 4 > 14 + 43x > 183x >1833x > 6

-5 -4< TRUE

When you multiply or divide an inequality by a negative number the direction of the inequality must be reversed.

Multiply both sides by -1

>

5 4> TRUE

FALSE

Multiplying or dividing by a negative number

-5 -4

3 - > 8

x24x + 2 >

10

- 4x + 2 > 10

3 + > 8

x2

Solve these inequalities

x > 2 x < 2

x < -10 x > -10

x > 2

x < -2x > -2

x < 10 x > 10

x > 10

3 - - 3 > 8 - 3

x2

x2 - >

5x2

(-2) < (5)(-2)

-

x < -10

- 4x + 2 - 2 > 10 - 2 - 4x > 8

8 4-

x -4-4 <

x < -2

4x + 2 > 10

3 - > 8

x2

- 4x + 2 > 10

3 + > 8

x2

The value the circle lies on is included in the solution set.

Closed circle

Open circle

The value the circle lies on is not included in the solution set.

Open or closed?

back to page 3

Triangle Inequality:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

draw and measure the lengths of three trianglessmall medium large sm +

med

Compare the sum of the measures of the small and medium sides to the measure of the largeside for each triangle you created. Describe what you notice.

Triangle Inequality:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

draw and measure three lengths that cannot make a triangle

small medium large sm + med

Compare the sum of the measures of the small and medium sides to the measure of the largeside for each non-triangle you created. Describe what you notice.

Compare the sum of the measures of the small and medium sides to the measure of the largeside for each triangle you created. Describe what you notice.

Compare the sum of the measures of the small and medium sides to the measure of the largeside for each non-triangle you created. Describe what you notice.Make a conjecture. Based on your observations, write a conjecture about the relationshipbetween the sum of the measures of the small and medium sides of a triangle and the measure ofthe large side of the triangle. Provide a reason for your conjecture.

Attachments