Question

Which of the following illustrates the truth value of the given statements? Some roses are red or some violets are blue. T F → T F T → T T T → T F F → F

Answer 1

Answer:

T T → T

Step-by-step explanation:

When it comes to logic we have the truth tables. There are different kinds of truth tables, the most common tables are the OR, AND, NOT tables.

In this problem, we see that the OR table is used.

T OR T = True

T OR F = True

F OR T = True

F OR F = False

Now we take the statements given.

Some roses are red = this is true as not all roses are red.

Some violets are blue = this is true as not all violets are blue.

So we end up having 2 true statements giving us:

T Some roses are red OR T Some violets are blue → T.

Answer 2

Answer:  The correct option is

(C)  T T → T

Step-by-step explanation:  We are given to select the statement that illustrates the truth value of the following statements :

"Some roses are red or some violets are blue."

Let us consider that

p : Some roses are red. This is true.

And

q : Some violets are blue. This is also true.

So, the statement p or q will also be true.

Thus, the required statement that illustrates the truth value of the given statement is

T     T          →        T.

Option (C) is CORRECT.