Sign In
Ask Question
Dane Bray
Mathematics
24 June, 15:28
Solve these equations.
|x-7|=x-7
+4
Answers (
1
)
Emmanuel Christian
24 June, 15:43
0
x ≥ 7
Step-by-step explanation:
|x - 7| = x - 7
A. For each absolute, find the intervals
x - 7 ≥ 0 x - 7 < 0
x ≥ 7 x < 7
If x ≥ 7, |x - 7| = x - 7 > 0.
If x < 7, |x - 7| = x - 7 < 0. No solution.
B. Solve for x < 7
Rewrite |x - 7| = x - 7 as
+ (x - 7) = x - 7
x - 7 = x - 7
-x + 14 = x
14 = 2x
x = 7
7 ≮7. No solution
C. Solve for x ≥ 7
Rewrite |x - 7| = x - 7 as
+ (x - 7) = x - 7
x - 7 = x - 7
True for all x.
D. Merge overlapping intervals
No solution or x ≥ 7
⇒ x ≥ 7
The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“Solve these equations. |x-7|=x-7 ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
3 divided by what = 36
Answers (2)
A rectangular prism has a volume of 320 cubic cm. Its height is 8 cm. What is the area of its base? A 40 square cm B 4 square cm C 2 square cm D 20 square cm
Answers (1)
James lives in San Francisco and works in Mountain View. In the morning, he has 33 3 3 transportation options (bus, cab, or train) to work, and in the evening he has the same 33 3 3 choices for his trip home.
Answers (1)
Sampling is ordinarily used when the number of items comprising the population is relatively small.
Answers (1)
In constructing a confidence interval estimate for a population mean, when we replace S with the sample standard deviation (s), we introduce a new source of variability and the sampling distribution we use is:A. the normal distribution B.
Answers (1)
New Questions in Mathematics
Name the property used to make the conclusion. If x=y and y=4, then x=4.
Answers (1)
Find tje prime factorazation 79
Answers (1)
What is equal to 20/40?
Answers (2)
The figure below shows a rectangle with a diagonal drawn. Which equation shows the trigonometric relationship between complementary angles? sin (t) = sin (u) sin (s) = cos (u) cosis) = sin (v) cos (t) = cos (v)
Answers (1)
The radius of a car wheel is 12 inches. How far will the car travel and 15 revolutions of the wheel?
Answers (1)
Home
»
Mathematics
» Solve these equations. |x-7|=x-7
Sign In
Sign Up
Forgot Password?