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)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
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
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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