Mathematics I / Conditionals and Boolean Logic
Practice question · Select all that apply

Let p be true and q be false. Select every expression that evaluates to TRUE.

Hints
  1. Substitute the values and work outward from the innermost operator.
  2. Any expression demanding q to hold is already lost.
Show the answer
  • A. p or q
  • B. p and (not q)
  • E. not q
Why

p or q is true because p holds; not q is true because q fails; p and (not q) is true and false is... true and true, so true. p and q fails on q, and not (p or q) negates a true value. Getting the last one wrong usually means negating the wrong level.

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