Intermediate Algebra
Intermediate Algebra
5th Edition
ISBN: 9781259610233
Author: Julie Miller, Molly O'Neill, Nancy Hyde
Publisher: McGraw-Hill Education
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Chapter R2, Problem 1PE
To determine

The correct word or phrase to fill in the blank.

Expert Solution & Answer
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Answer to Problem 1PE

Solution:

The word/phrases which can be filled in the blanks of each statement can be given as:

  1. Set.
  2. Inequalities.
  3. a is less than b.
  4. c is greater than d.
  5. 5 is not equal to 6.
  6. Infinity, Negative infinity
  7. {x|x>5}, Interval.
  8. Excludes, includes.
  9. Parenthesis.

Explanation of Solution

  (a) In mathematics, a well-defined collection of elements is called a Set.(b) The statements a<b,a>b,and ab are examples of Inequalities.

  (c) The statement a<b is read as “ais less thanb”.

  (d) The statement cd is read as “cis greater than or equal tod”.

  (e) The statement 56 is read as “5 is not equal to 6”.

  (f) The symbol represents Infinityand represents Negative infinity.(g) The set of real numbers greater than 5 can be written in set-builder notation as {x|x>5}_ and in Intervalnotation as (5,) .

  (h) We know that parentheses) or (indicate that an endpoint is excluded from the set. And the square bracket ] or [ indicates that an endpoint is included in the set.

Thus, the interval (2,5]excludesthe value 2 and includesthe value 5.

  (i) When expression interval notation, use a parenthesiswith infinity.

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Chapter R2 Solutions

Intermediate Algebra

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