<u>Compound inequality:</u>
A compound inequality contains two or more inequalities that are separated either by "and" or "or".
And: It indicates that both statements of the compound sentence satisfies at the same time.
Or: This indicates that as long as either statement is true, the entire compound sentence is true.
For example:
1. ![3 x + 2 < 14 \text{ and }2 x-5 >-11](https://tex.z-dn.net/?f=3%20x%20%2B%202%20%3C%2014%20%5Ctext%7B%20and%20%7D2%20x-5%20%3E-11)
Here, and denotes that intersection or the overlap will be the desired result.
2. ![2 x + 7](https://tex.z-dn.net/?f=2%20x%20%2B%207%20%3C-11%20%5Ctext%7B%20or%20%7D-3%20x-2%20%3C%2013)
Since the joining conjunction is or we can come to a point that the entire compound sentence is true.
AND CASES:
A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 1 or as -1 < x < 1.
OR CASES:
A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities. It is written as x < -1 or x > 1.
Solve it.
x * y = 14
x + y = 8
You should get back 2.5858 and 5.4142
Jessie needs 27 supporters in order to reach his goal.
Step-by-step explanation:
Given,
Amount to be collected by Jessie = $150
Jessie's contribution = $15
Amount to be asked from each person = $5
Let,
x be the number of people who contribute.
Jessie's contribution + 5*Number of people who contribute = Total amount
15+5x=150
Subtracting 15 from both sides
![15-15+5x=150-15\\5x=135](https://tex.z-dn.net/?f=15-15%2B5x%3D150-15%5C%5C5x%3D135)
Dividing both sides by 5
![\frac{5x}{5}=\frac{135}{5}\\x=27](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%3D%5Cfrac%7B135%7D%7B5%7D%5C%5Cx%3D27)
Jessie needs 27 supporters in order to reach his goal.
Keywords: linear expression, division
Learn more about division at:
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