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Home > AC > Chapter 9 > Lesson 9.1.1 > Problem 9-10

9-10.

Identify the statements below as sometimes true, always true, or never true.

less than
less than or equal to
greater than
greater than or equal to

  1. The answer is true depending on what x equals.
    If x is 1 or higher, the statement is not true.
    If it is any other number, the statement is true. Therefore, it is sometimes true.

    Sometimes true

  1. Follow the reasoning in part (a).

    Never true

  1. 3x + 5 = 2
    −5 −5
    3x = −3

    If x is equal to −1, then the statement is true.
    Any other time the statement is false.
    Therefore, the statement is sometimes true.

    Sometimes true

  1. Always true

  1. Follow the reasoning in part (a).