Question

For each question, use the following statements to write the compound statement anddetermine its truth value.P: Perpendicular lines intersect to form right angles.Q: All eagles are bald eagles.R: The capital of Texas is Houston.S: Congruent segments have equal length. Write the compound statement and determine its truth value: ~Qv~SNot all eagles are bald eagles or congruent segments do not have equal length; falseSome eagles are bald eagles or congruent segments have equal length; trueNot all eagles are bald eagles or congruent segments do not have equal length; trueSome eagles are bald eagles or congruent segments have equal length; false

Answer 1

"Not all eagles are bald eagles or congruent segments do not have equal length; true"

Explanantion:

Given the statement;

Q: All eagles are bald eagles.

S: Congruent segments have equal length.

Then;

~Q: Not all eagles are bald eagles. -------- True

~S: Congruent segments do not have equal length. ------False

The compound statement is ~Qv~S.

the "v" is a or joint, so if one of the statement is true then the compound statement will be true.

Since statement ~S is true, the the compound statement is true.

Therefore the correct answer is;

"Not all eagles are bald eagles or congruent segments do not have equal length; true"