Intermediate Algebra (11th edition)

OBJECTIVES 2 CHAPTER 1 Review of the Real Number System OBJECTIVE 1 Write sets using set notation.A setis a collection of object ...

Listing the Elements in Sets List the elements in each set. (a) The natural numbers less than 4 are 1, 2, and 3. This set is (b) ...

A rational number written as a fraction, such as or can also be expressed as a decimal by dividing the numerator by the denomina ...

FIGURE 5shows the set of real numbers. Every real number is either rational or ir- rational. Notice that the integers are elemen ...

OBJECTIVE 5 Use absolute value.Geometrically, the absolute valueof a number a, written is the distance on the number line from 0 ...

SECTION 1.1 Basic Concepts 7 Absolute Value For any real number a, ae a a if a is positive or 0 if a is negative. The formal ...

What occupation in the table on the preceding page is expected to see the greatest change? The least change? We want the greates ...

The following table summarizes results about positive and negative numbers in both words and symbols. SECTION 1.1 Basic Concepts ...

In the interval the infinity symbol does not indicate a number—it shows that the interval includes all real numbers greater than ...

SECTION 1.1 Basic Concepts 11 0 2 3 4 681012 The interval (3, 10] NOW TRY EXERCISE 11 Write in interval notation and graph. 5 x ...

Decide whether each statement is trueor false. If it is false, tell why. See Example 4. 25.Every integer is a whole number. 26.E ...

Sea level refers to the surface of the ocean. The depth of a body of water such as an ocean or sea can be expressed as a negativ ...

The graph shows egg production in mil- lions of eggs in selected states for 2005 and 2006. Use this graph to work Exer- cises 11 ...

Adding Real Numbers with Different Signs Find each sum. (a) First find the absolute values: and. Because and 11 have differentsi ...

The preceding example suggests the following definition of subtraction. 16 CHAPTER 1 Review of the Real Number System Subtractio ...

(b) Work inside brackets. Add. Add the additive inverse. Work from left to right. = 1 NOW TRY =- 5 + 6 =- 9 + 4 + 6 =- 9 - 3 - 4 ...

Multiplying Real Numbers Find each product. (a) Same sign; product is positive. (b) (c) Factor to write in lowest terms. = Divid ...

Since division is defined as multiplication by the reciprocal, the rules for signs of quotients are the same as those for signs ...

(d) Multiply by the reciprocal. Factor. =- Lowest terms 3 2 =- 7 # 3 # 3 7 # 3 # 2 =- 63 42 - 9 14 , 3 7 =- 9 14 ^7 3 20 CHAPTER ...

26. 27. 28. 29. 30. 31. 32. 33. 34. Perform the indicated operations. See Example 4. 47. 4 ...