Consider the following two assertions. 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). Hint: three statement letters will suffice. Using those statement letters, rewrite a and b as two logical expressions. Construct a truth table to show that a and b are logically equivalent.

Question

Consider the following two assertions. 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). Hint: three statement letters will suffice. Using those statement letters, rewrite a and b as two logical expressions. Construct a truth table to show that a and b are logically equivalent.

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