Approximate Values of x

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Section 2.7
54 & 58

Can you show me how to do 54 and 58 as a guide for me to try a few more on my own? Thank you.

20210930_232312.jpg
 
54. approximate the value of x that satisfy each inequality
y=(1/2)x^2-2x+1

a. y<=0
b. y>=7
upload_2021-10-1_11-13-33.png



a. y<=0 for approximately x=1/2 and x=3.5

b. y>=7 for approximately x=-2 and x=6

58.

y=2(x-2)/(x+1)

a. y<=0
b. y>=8

upload_2021-10-1_11-24-50.png


a. y<=0 for approximately x=2
b. y>=8 for approximately x=-2
 
54. approximate the value of x that satisfy each inequality
y=(1/2)x^2-2x+1

a. y<=0
b. y>=7
View attachment 539


a. y<=0 for approximately x=1/2 and x=3.5

b. y>=7 for approximately x=-2 and x=6

58.

y=2(x-2)/(x+1)

a. y<=0
b. y>=8

View attachment 540

a. y<=0 for approximately x=2
b. y>=8 for approximately x=-2

I will do a few more on my own for extra practice but nothing to worry about. I am not going to understand every question, every topic, every section and/or every chapter regardless of course. Moving on....
 

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