Math Problem Statement

In each statement of 7-10, fill in the blanks using a variable or variable to rewrite given statement.

  1. Is there a real number whose square is 1? a. Is there a real number a such that ____? b. Does there exist ____ such that a2 = 1?

  2. Given any real number, there is a real number that is lesser. a. Given any real number a, there is ____ b such that b is ____. b. For any ____, ____ such that a< b.

  3. The reciprocal of any negative real number is negative. a. Given any negative real number t, the reciprocal of ____. b. For any real number t, if t is ____, then ____. c. If a real number t ____, then ____.

  4. The cube root of any positive real number is positive. a. Given any positive real number n, the cube root of ____. b. For any real number n, if n is ____, then ____. c. If a real number n ____, then ____.

Solution

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Math Problem Analysis

Mathematical Concepts

Real numbers
Square roots
Reciprocals
Cube roots

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12