Do you have the picture for the shaded area? please be more specific.
Answer:
A) The value of a is <u>29</u>.
B) The value of b is <u>greater than 29</u>.
C) In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.
D) The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.
Step-by-step explanation:
Solving for Part A.
Given,
![a-9=20](https://tex.z-dn.net/?f=a-9%3D20)
We have to solve for a.
![a-9=20](https://tex.z-dn.net/?f=a-9%3D20)
By using addition property of equality, we will add both side by 9;
![a-9+9=20+9\\a=29](https://tex.z-dn.net/?f=a-9%2B9%3D20%2B9%5C%5Ca%3D29)
Hence the value of a is <u>29</u>.
Solving for Part B.
Given,
![b-9>20](https://tex.z-dn.net/?f=b-9%3E20)
We have to solve for b.
![b-9>20](https://tex.z-dn.net/?f=b-9%3E20)
By using addition property of inequality, we will add both side by 9;
![b-9+9>20+9\\b>29](https://tex.z-dn.net/?f=b-9%2B9%3E20%2B9%5C%5Cb%3E29)
Hence the value of b is <u>greater than 29</u>.
Solving for Part C.
In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.
Solving for Part D.
The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
![m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7Brise%7D%7Brun%7D%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
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Answer:
Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.
As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.
Therefore, -28 is greater than -162.
Step-by-step explanation:
To determine:
Is -28 greater than or less than -162?
Solution Steps:
- In mathematics, a number line is considered to be a straight line with numbers placed at equal intervals along its length.
- A number line could be extended infinitely in any direction i..e -∞ to +∞.
- A number is usually represented horizontally.
Any number which is on left side on the line number is less than the number which is on right hand side relative to that number.
As -28 is on the right hand side of the line number, and -162 is heading towards left hand side relative to -28.
Therefore, -28 is greater than -162.
In other words,
![-28>-162\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}](https://tex.z-dn.net/?f=-28%3E-162%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3A%5Cmathrm%7BTrue%5C%3Afor%5C%3Aall%7D%5C%3Ax%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
Keywords: number line, less than, greater than
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