Inequalities: True or False

[nycmathguy]

Set 1.1

DO NOT USE A CALCULATOR.

How is this done using the given approximations?

Problems: 34, 36, 38, 40

 

[MathLover1]

34.
you have sqrt(7)-2>=0
then sqrt(7)>=2 => this statement is true, because sqrt(7)>2
36.
on left side you actually have 0.777777777 which is greater than 0.7

0.777777777>0.7->statement is true
38.
2<=(pi+1)/2...statement is true ((pi+1)/2>2)

40.
pi^2<12..statement is true (pi^2 approximately 9.9 )

 

[nycmathguy]

34.
you have sqrt(7)-2>=0
then sqrt(7)>=2 => this statement is true, because sqrt(7)>2
36.
on left side you actually have 0.777777777 which is greater than 0.7

0.777777777>0.7->statement is true
38.
2<=(pi+1)/2...statement is true ((pi+1)/2>2)

40.
pi^2<12..statement is true (pi^2 approximately 9.9 )

Did you use the given approximations?

 

[MathLover1]

Did you use the given approximations?

yes

 

[nycmathguy]

yes

I will try a few on my own.