Exercise #4: Consider the equation x-7 =-2 (a) Show that x=5 is not a solution to this equation. (b) Explain why this equation cannot have any solutions.
Exercise #4: Consider the equation x-7 =-2 (a) Show that x=5 is not a solution to this equation. (b) Explain why this equation cannot have any solutions.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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![Exercise #4: Consider the equation x-7 =-2
(a) Show that x=5 is not a solution to this
equation.
(b) Explain why this equation cannot have any
solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98d718fc-96a1-4a49-8602-0e4ce3e8ec5c%2F0cb4c136-3c6d-4a86-803a-5b594b94fb1c%2Fknm188h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise #4: Consider the equation x-7 =-2
(a) Show that x=5 is not a solution to this
equation.
(b) Explain why this equation cannot have any
solutions.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
here given
|x-7| = -2
answer (a)
this function is defined differntky for values range of x
when x < 7
for this |x-7| is negative
here x = 5
so this opens with nagtive sign
-(x-7) = -2
put x = 5
-(5-7) = -2
-(-2) = -2
2 = -2
this is not possible so x values 5 is not a solution.
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