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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100

Problem 80 Easy Difficulty

Insert one of the symbols $>,<,$ or $=$ in the blank to make each statement true.

$$
\sqrt{2} \quad \text{_____}\quad \pi
$$

Answer

$<$

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Algebra

Elementary and Intermediate Algebra

Chapter 1

An Introduction to Algebra

Section 3

The Real Numbers

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01:32

Absolute Value - Example 1

In mathematics, the absolu…

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Absolute Value - Example 2

In mathematics, the absolu…

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Replace each $\pi$ with th…

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Watch More Solved Questions in Chapter 1

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

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Problem 100

Video Transcript

How is the square root of two ready to pie? Well, let's figure this out by analyzing each number separately. We know that pie is a big, long decimal, which starts with about 3.14 The rest of the decimals don't really matter for our purposes here. Now the square root of two without actually plugging into a calculator, we can still figure this out. The square root of two is always going to be less than two. That is, the screwed of any number is less than the initial number, like how the square of four is too. So the square root of two will be less than two. And if it's less than two than it's certainly going to be less than 3.14 Therefore, we can say that the square root of two is going to be less than pie.

We have video lessons for 94.35% of the questions in this textbook

Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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Related Topics

The Language of Algebra

Equations and Inequalities

Functions

Linear Functions

Quadratic Functions

Polynomials

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Missouri State University

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Oregon State University

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McMaster University

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Baylor University

Algebra Courses

Lectures

Video Thumbnail

01:32

Absolute Value - Example 1

In mathematics, the absolute value or modulus |x| of a real number x is its …

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01:11

Absolute Value - Example 2

In mathematics, the absolute value or modulus |x| of a real number x is its …

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Replace each $\pi$ with the symbol $<,>,$ or $=$ to make the sentence …

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Replace each $\pi$ with the symbol $<,>,$ or $=$ to make the sentence …

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Place one of the symbols $\subseteq, \Phi, \in,$ or $\notin$ in each blank s…

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Additional Mathematics Questions

evaluate-each-expression-1left28-52-cdot-2right-32

01:37

Evaluate each expression.
$$
-1\left(28-5^{2} \cdot 2\right) 3^{2}
…

use-the-change-of-base-rule-with-either-common-or-natural-logarithms-to-find-each-logarithm-to-fou-9

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Use the change-of-base rule (with either common or natural logarithms) to fi…

see-example-2-savings-a-man-deposited-5000-dollars-in-a-credit-union-paying-6-simple-interes

02:04

See Example 2.
Savings. A man deposited 5,000 dollars in a credit union p…

$add-quad-frac310frac215$

01:04

Add: $\quad \frac{3}{10}+\frac{2}{15}$

evaluate-each-expression-8-3left52-7-32right

01:13

Evaluate each expression.
$$
8-3\left[5^{2}-(7-3)^{2}\right]
$$

multiply-see-example-3-56-3-4-1

01:04

Multiply. See Example 3.
$$
56(-3)(-4)(-1)
$$

use-a-property-of-equality-to-solve-each-equation-then-check-the-result-see-example-3-23y

00:39

Use a property of equality to solve each equation. Then check the result. Se…

$solve-equation-25-xleftfrac116rightx3$

00:41

Solve equation.
$2^{5 x}=\left(\frac{1}{16}\right)^{x+3}$

$simplify-each-expression-12leftfrac512-xright$

00:52

Simplify each expression.
$$
12\left(\frac{5}{12} x\right)
$$

home-club-offers-a-10-plus-guarantee-if-the-customer-finds-the-same-item-selling-for-less-somew

02:45

Home Club offers a "10\% Plus" guarantee: If the customer finds th…

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