Question 1121051
create a truth table as shown below:


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the truth table for A or (B and C) is identical to the truth table of (A or B) and (A or C).


that makes them equivalent.


A or B is only false if A and B are both false.
otherwise it is true.


A and B is only true if A and B are both true.
otherwise it is false.


first set up the truth tables for A, B, and C.


then set up the truth table for B and C.


then set up the truth table for A or (B and C)


then set up the truth table for A or B


then set up the truth table for A or C


then set up the truth table for (A or B) and (A or C)


then look at the truth table for A or (B and C) and the truth table for (A or B) and (A or C)


if they's the same, it means that A or (B and C) is equivalent to (A or B) and (A or C).


the symbols for or and and are a pain on the typewriter, which is why i just use or for OR and and for AND.


i probably should have capitalized them, but didn't, and don't really have time to go back and fix that.


hopefully you'll be able to understand as written.