Solve |2x - 2| < 8
1 answer:
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |2x-2|
For the Negative case we'll use -(2x-2)
For the Positive case we'll use (2x-2)
-(2x-2) < 8
Multiply
-2x+2 < 8
Rearrange and Add up
-2x < 6
Divide both sides by 2
-x < 3
Multiply both sides by (-1)
Remember to flip the inequality sign
x > -3
Which is the solution for the Negative Case
(2x-2) < 8
Rearrange and Add up
2x < 10
Divide both sides by 2
x < 5
Which is the solution for the Positive Case
One solution was found :
<h2> -3 < x < 5</h2>You might be interested in
Answer:
The error E = ± 4.04 %
Step-by-step explanation:
Solution:-
- The sample data is used to estimate the population proportion ( p ).
- The success p^ = success percentage = 40 %
- The confidence interval CI = 98%
- The sample size n = 800
- The margin of error E:
- The margin of error "E" for estimation of population proportion ( p ) is given by:
Where, Z-critical value is defined by the significance level:
P ( Z < Z-critical ) = α / 2
Where, α : Significance level
α = 1 - CI
P ( Z < Z-critical ) = (1 - 0.98) / 2
P ( Z < Z-critical ) = 0.01
Z-critical = 2.33
- The error E of estimation is:
- The error E = ± 4.04 %