Answer:
The absolute number of a number a is written as
|a|
And represents the distance between a and 0 on a number line.
An absolute value equation is an equation that contains an absolute value expression. The equation
|x|=a
Has two solutions x = a and x = -a because both numbers are at the distance a from 0.
To solve an absolute value equation as
|x+7|=14
You begin by making it into two separate equations and then solving them separately.
x+7=14
x+7−7=14−7
x=7
or
x+7=−14
x+7−7=−14−7
x=−21
An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.
The inequality
|x|<2
Represents the distance between x and 0 that is less than 2
Whereas the inequality
|x|>2
Represents the distance between x and 0 that is greater than 2
You can write an absolute value inequality as a compound inequality.
−2<x<2
This holds true for all absolute value inequalities.
|ax+b|<c,wherec>0
=−c<ax+b<c
|ax+b|>c,wherec>0
=ax+b<−corax+b>c
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.
Step-by-step explanation:
Hope this helps :)
Answer:
what are the coordinates
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. x - 2 = 10
x = 10 + 2 = 12
2. 40 = 5x
40/5 = x
x = 8
3. x/2 = 8
Multiply by 2 on both sides
x = 16
4. x + 14 = 24
x = 24 - 14 = 10
5. x + 2 = 10
x = 10 - 2 = 8
6. x/8 = 1
Multiply by 8 on both sides
x = 8
No 2 5 and 6 is the correct answer
