Blue is a color and  5 x 4 = 20.

Choose:

Blue is a color is true. 5 x 4 = 20 is true. True AND true is true. Explanation

A dog has 6 legs or there are 45 minutes in an hour.     

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A dog has 6 legs is false. There are 45 minutes in an hour is false. False OR false is false. Explanation

A rose is a flower or 2 is an odd number.

Choose:

A rose is a flower is true. 2 is an odd number is false. True OR false is true. Explanation

A circle is round and a rectangle has 5 sides.  

Choose:

A circle is round is true. A rectangle has 5 sides is false. True AND false is false. Explanation

 A fish can swim  and a triangle does not have 3 sides.     

Choose:

A fish can swim is true. A triangle does not have 3 sides is false. True AND false is false. Explanation

Grass is green or a hexagon has 3 sides.

Choose:

Grass is green is true. A hexagon has 3 sides is false. True OR false is true. Explanation

There are 24 hours in a day and 10 months in a year. 

Choose:

There are 24 hours in a day is true. 10 months in a year is false. True AND false is false. Explanation

There are 7 days in a week and a square does not have 3 sides.

Choose:

There are 7 days in a week is true. A square does not have 3 sides is true. True AND true is true. Explanation

A football is used to play baseball and a pentagon has 5 sides. 

Choose:

A football is used to play baseball is false. A pentagon has 5 sides is true. False AND true is false. Explanation

For a compound statement using "and" to be true, BOTH facts must be true.

The compound statement using "or" is true when both statements (or facts) are true, or one of the statements (or facts) are true.

The negation ("not") will always have the opposite truth value of the original statement. What was TRUE, will become FALSE, or what was FALSE, will become TRUE.