Sribe Post For October 21 2010

In class today we just did homework that was suppose to be done yesterday night, so i am just going to redo a couple of different hw problems that we did in class today.
Chapter 3 section 1

9. 4x + 1 ≥ 21 - solve and give answer in both interval and graph forms
First step: clear fractions- there are no fractions
Second step: simplify each side separately- both sides are already simplified
Third step: isolate the variable terms on one side. 4x + 1 ≤ 21
4x ≤ 20
Fourth step:isolate the variable- 4x ≥ 20
4x/4 ≥ 20/4
x ≥ 5
The answer in graph form: <-|-|-|-|-|-|-|-|-|-|-[-|-|-|-|-> and in interval form: [5, ∞)
-5 0 9
Now that we know have to solve the inequalities lets move a bit faster.
22. m-2(m-4) ≤ 3m
m-2m-8≤3m
-m-8≤ 3m
-m-8 + -m ≤ 3m + -m
8 ≤ 2m
4 ≤ m
Lets now try a different type of problem form the hw.
Solve the linear equation
31. 5(x+3)-2(x-4)=2(x+7)

Simplifying

5(x + 3) + -2(x + -4) = 2(x + 7)

Reorder the terms:

5(3 + x) + -2(x + -4) = 2(x + 7)

(3 * 5 + x * 5) + -2(x + -4) = 2(x + 7)

(15 + 5x) + -2(x + -4) = 2(x + 7)

Reorder the terms:

15 + 5x + -2(-4 + x) = 2(x + 7)

15 + 5x + (-4 * -2 + x * -2) = 2(x + 7)

15 + 5x + (8 + -2x) = 2(x + 7)

Reorder the terms:

15 + 8 + 5x + -2x = 2(x + 7)

Combine like terms: 15 + 8 = 23

23 + 5x + -2x = 2(x + 7)

Combine like terms: 5x + -2x = 3x

23 + 3x = 2(x + 7)

Reorder the terms:

23 + 3x = 2(7 + x)

23 + 3x = (7 * 2 + x * 2)

23 + 3x = (14 + 2x)

Solving

23 + 3x = 14 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

23 + 3x + -2x = 14 + 2x + -2x

Combine like terms: 3x + -2x = 1x

23 + 1x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0

23 + 1x = 14 + 0

23 + 1x = 14

Add '-23' to each side of the equation.

23 + -23 + 1x = 14 + -23

Combine like terms: 23 + -23 = 0

0 + 1x = 14 + -23

1x = 14 + -23

Combine like terms: 14 + -23 = -9

1x = -9

Divide each side by '1'.

x = -9

Simplifying

x = -9

<-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|->

-10 0 7

Ok lets try something a bit different again.

Solve each inequality, giving its solution set in both interval and graph forms.

37.-4 <>6

First step: add 5 on both sides of the inequality

-4 + 5 < x < 11

Second step: simplify- 1

<-|-|-|-|-|-|-[-|-|-|-|-|-|-|-|-|-]-|-|>

-5 9 13 0 9 13

Even if my wonderful scribe post did not help you maybe this guy with a power point can. =)

http://www.youtube.com/watch?v=MJ4dCBmYwvU

Just copy paste the "ULR" into your browser address bar

For the next scribe i choice Harrison