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: RV-SThe capital of Texas is Houston or congruent segments do not have equal length; trueThe capital of Texas is Houston or congruent segments do not have equal length; falseThe capital of Texas is Houston or congruent segments have equal length; trueThe capital of Texas is Houston or congruent segments have equal length;false

Answer 1

Notice that the statement :

Perpendicular lines intersect to form right angles. is a TRUE statement

All eagles are bald eagles. is a FALSE statement

The capital of Texas is Houston. is a FALSE statement (it is Austin, just checked)

Congruent segments have equal length. is a TRUE statement

and therefore Congruent segments do not have equal length is FALSE.

Therefore the compound statements (using OR and AND connectors) must satisfy the rule of veracity.

Then the following:

The capital of Texas is Houston or congruent segments do not have equal length;

we have a F v F = FALSE

For:

The capital of Texas is Houston or congruent segments have equal length;

we have F v T = TRUE

Since the problem is asking to identify: R v -S

then we need to write:

"The capital of Texas is Houston or congruent segments do not have equal length; " which as we said above is a F v F = FALSE statement

Then the answer that needs to be selected is the second answer in the list