Application
Translating Verbal Arguments Into Symbolic Form

Translating Verbal Arguments Into Symbolic Form Problem Set

  1. Explain the difference between a conjunction and a disjunction.

  2. When translating a verbal statement to symbolic form, explain how to determine when the following symbols are needed.
    1. ∼
    2. →
    3. ↔

For problems 3–7, use the given information to translate each verbal statement into symbolic form.

  1. ∠T measures 100°.
  2. ∠T is an obtuse angle.
  3. ∠T is not a right angle.
  4. ∠T is an acute angle.
  1. If ∠T is an obtuse angle, then ∠T is not a right angle.

  2. ∠T is a right angle.

  3. ∠T is not a right angle and ∠T is an obtuse angle.

  4. ∠T measures 100° or ∠T is not an acute angle.

  5. If ∠T is a right angle, then ∠T does not measure 100°.
    ∠T measures 100°.
    Therefore, ∠T is not a right angle.

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