Answer:
D) would be the answer
Step-by-step explanation:
Domain is always the set of x-coordinates in the pairs and the range is always the set of y-coordinates in the pairs.
D: 7, -2, 4, -9, 0
R: 3, -2, 1, 0, 7
Put them in order from least to greatest.
D: -9, -2, 0, 4, 7
R: -2, 0, 1, 3, 7
Answer
The solution to the inequality is x > 22/3 or x < -32/3
Explanation
The given inequality is:
![|x+\frac{5}{3}|-3>6](https://tex.z-dn.net/?f=%7Cx%2B%5Cfrac%7B5%7D%7B3%7D%7C-3%3E6)
The inequality can be solved as follows:
![\begin{gathered} |x+\frac{5}{3}|-3>6 \\ \\ Take-3\text{ }to\text{ }the\text{ }other\text{ }side\text{ }of\text{ }the\text{ }inequality\text{ }sign \\ \\ |x+\frac{5}{3}|>6+3 \\ \\ |x+\frac{5}{3}|>9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%7Cx%2B%5Cfrac%7B5%7D%7B3%7D%7C-3%3E6%20%5C%5C%20%20%5C%5C%20Take-3%5Ctext%7B%20%7Dto%5Ctext%7B%20%7Dthe%5Ctext%7B%20%7Dother%5Ctext%7B%20%7Dside%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dthe%5Ctext%7B%20%7Dinequality%5Ctext%7B%20%7Dsign%20%5C%5C%20%20%5C%5C%20%7Cx%2B%5Cfrac%7B5%7D%7B3%7D%7C%3E6%2B3%20%5C%5C%20%20%5C%5C%20%7Cx%2B%5Cfrac%7B5%7D%7B3%7D%7C%3E9%20%5Cend%7Bgathered%7D)
Now, split the absolute value into two inequalities, for case > 9 or < -9
![\begin{gathered} x+\frac{5}{3}>9\text{ }or\text{ }x+\frac{5}{3}9-\frac{5}{3}\text{ }or\text{ }x\frac{22}{3}\text{ }or\text{ }x](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B%5Cfrac%7B5%7D%7B3%7D%3E9%5Ctext%7B%20%7Dor%5Ctext%7B%20%7Dx%2B%5Cfrac%7B5%7D%7B3%7D%3C-9%20%5C%5C%20%20%5C%5C%20x%3E9-%5Cfrac%7B5%7D%7B3%7D%5Ctext%7B%20%7Dor%5Ctext%7B%20%7Dx%3C-9-%5Cfrac%7B5%7D%7B3%7D%20%5C%5C%20%20%5C%5C%20x%5Cgt%5Cfrac%7B27-5%7D%7B3%7D%5Ctext%7B%20%7Dor%5Ctext%7B%20%7Dx%5Clt%5Cfrac%7B-27-5%7D%7B3%7D%20%5C%5C%20%20%5C%5C%20x%3E%5Cfrac%7B22%7D%7B3%7D%5Ctext%7B%20%7Dor%5Ctext%7B%20%7Dx%3C%5Cfrac%7B-32%7D%7B3%7D%20%5Cend%7Bgathered%7D)
Hence the solution to the inequality | x + 5/3 | -3 > 6 is x > 22/3 or x < -32/3
Answer:
36 miles per gallon of gas
Step-by-step explanation:
Answer:
0, 1/10, 2/10, 3/10, 4/10, or
Step-by-step explanation:
-4/7 is about -0.57 in decimal form,
1/2 is 0.5
So we need to find 5 rational numbers between -0.58 and 0.5
A rational number is a number which can be expressed as a fraction.
0 can be expressed as 0/10
0.1 can be expressed as 1/10
0.2 can be expressed as 2/10
0.3 can be expressed as 3/10
0.4 can be expressed as 4/10
So just use those.