Given:
The inequality is
![3|p+4|+5](https://tex.z-dn.net/?f=3%7Cp%2B4%7C%2B5%3C8)
To find:
The solution set for the given inequality.
Solution:
We have,
![3|p+4|+5](https://tex.z-dn.net/?f=3%7Cp%2B4%7C%2B5%3C8)
![3|p+4|](https://tex.z-dn.net/?f=3%7Cp%2B4%7C%3C8-5)
![3|p+4|](https://tex.z-dn.net/?f=3%7Cp%2B4%7C%3C3)
Divide both sides by 3.
![|p+4|](https://tex.z-dn.net/?f=%7Cp%2B4%7C%3C1)
It can be written as
![-1](https://tex.z-dn.net/?f=-1%3Cp%2B4%3C1)
Subtracting 4 from each side, we get
![-1-4](https://tex.z-dn.net/?f=-1-4%3Cp%2B4-4%3C1-4)
![-5](https://tex.z-dn.net/?f=-5%3Cp%3C-3)
The solution set of the given inequality is (-5,-3).
Therefore, the correct option is A.
Answer:
an=6+6(n-1)
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
(p*-5)-2=-42
-5p-2=-42
-5p=-42+2=-40
-5p/-5=-40/-5
=8
Step-by-step explanation:
We will learn how to solve proportion problems. We know, the first term (1st) and the fourth term (4th) of a proportion are called extreme terms or extremes, and the second term (2nd) and the third term (3rd) are called middle terms or means.
Therefore, in a proportion, product of extremes = product of middle terms
example
1. Check whether the two ratios form a proportion or not:
(i) 6 : 8 and 12 : 16; (ii) 24 : 28 and 36 : 48
Solution:
(i) 6 : 8 and 12 : 16
6 : 8 = 6/8 = 3/4
12 : 16 = 12/16 = 3/4
Thus, the ratios 6 : 8 and 12 : 16 are equal.
Therefore, they form a proportion.