MATH 2425 SUMMER 2024: PRE-LAB 4 We have successfully shown that (1.1) is true using familiar mathematical operations. Я AHA + A- SUMMUZ :400S MAP Exercise 3. Using a similar process, show that for 2≤ x SES HTAM 1 TAM 4 1+ x6 2 That is, START with the inequality 2x and through a series of manipulations, conclude that √1+≤√5. It may be useful to use simple inequalities that we know are true, such as ½ < 1. It 4 will also be beneficial to recall the transitive property of inequalities. (If a

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
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Chapter2: Equations And Inequalities
Section2.6: Inequalities
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MATH 2425 SUMMER 2024: PRE-LAB 4
We have successfully shown that (1.1) is true using familiar mathematical operations.
Я
AHA
+ A-
SUMMUZ
:400S MAP
Exercise 3. Using a similar process, show that for 2≤ x
SES HTAM
1 TAM
4
1+
x6
2
That is, START with the inequality 2x and through a series of manipulations, conclude that
√1+≤√5. It may be useful to use simple inequalities that we know are true, such as ½ < 1. It
4
will also be beneficial to recall the transitive property of inequalities. (If a<b and b<c then
a<c.) Note that this time you need an UPPER bound, not a LOWER bound. (Hint: Start with
2<x and divide both sides by 2x).
2x
2≤x
2x
VI
-IN
Exercise 4. Determine if is larger or smaller than
Transcribed Image Text:MATH 2425 SUMMER 2024: PRE-LAB 4 We have successfully shown that (1.1) is true using familiar mathematical operations. Я AHA + A- SUMMUZ :400S MAP Exercise 3. Using a similar process, show that for 2≤ x SES HTAM 1 TAM 4 1+ x6 2 That is, START with the inequality 2x and through a series of manipulations, conclude that √1+≤√5. It may be useful to use simple inequalities that we know are true, such as ½ < 1. It 4 will also be beneficial to recall the transitive property of inequalities. (If a<b and b<c then a<c.) Note that this time you need an UPPER bound, not a LOWER bound. (Hint: Start with 2<x and divide both sides by 2x). 2x 2≤x 2x VI -IN Exercise 4. Determine if is larger or smaller than
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