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
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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.
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.