Question

Consider the following two assertions about x. Assume x is a specific but unknown real number....

Consider the following two assertions about x. Assume x is a specific but unknown real number.

a. x< 2 or it is false that 1 <x< 3.

b. x≤ 1 or either x< 2 or x≥ 3.

Define statement letters for each of the individual statements (e.g., “x< 2” is a statement).

If the same statement occurs more than once, use the same statement letter for all occurrences.

Using those statement letters, rewrite assertions a and b as two logical expressions. Then construct a truth table to show that a and b are logically equivalent.

Math   Precalculus   
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