
> 0
First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like:

= 0
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x =
Sixth, from the values of x above, we have these 3 intervals to test:
x <


< x < 5
x > 5
Seventh, pick a test point for each interval.
1. For the interval x <

:
Let's pick x - 0. Then,

> 0
After simplifying, we get 1 > 0 which is true.
Keep this interval.
2. For the interval

< x < 5:
Let's pick x = 2. Then,

> 0
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.
3. For the interval x > 5:
Let's pick x = 6. Then,

> 0
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x <

and x > 5
Answer: x <

and x > 5
Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (-1, 4)
Point (3, 12)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:

- [Fraction] Subtract:

- [Fraction] Divide:

The circumference is (2 pi) (radius) . The ratio of radius to circumference is (1)/(2 pi).
It's can be 5×10^4
5×10^4= 5×10000=50,000