i can not answer the four questions for you but i can give you an example of how to solve it
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.
$$\left | x \right |<2\: or−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.
The correct answer is 17: 30
Explanation:
The purpose of a ratio is to express the relationship between two elements in terms of quantities. For example, if there are 5 oranges and 4 lemons the ratio is 5 to 4. Additionally, this relationship between the quantities of two different things can be expressed as a fraction, by using a colon (:) or by using the word "to." In the last two cases, the colon or word "to" separate the two amounts compared.
In the case presented, the total of days observed was 30 days (17 days with rain + 13 days with no rain) and the ratio of rainy days to the total of days can be expressed as 17:30, 
or as 17 to 30, considering there were 17 rainy days out of a total of 30 days.
It is given in the question that,
Since we have the value of r given, so we have to use the formula to find the nth term of the geometric progression, which is
Substituting the values of a and r, we will get
So the correct option is the third option .
Answer:
8
Step-by-step explanation:
3( 2 + 2 ) - 4
3( 4 ) - 4
12-4
8
