Question

For the following conditional statement, write the a.)

inverse and b.) converse.
If it is Saturday, then there is no school.

Write the following statement in if-then form.
All freshman are required to attend orientation.

Fill in the blank for the following two-column proof.
Given: 3x+1=-14 Prove: x=-5
Statements Reasons
1. 3x+1=-14 Given
2. 3x=-15 ________________________
3. X=-5 Division Property

Answer 1

The inverse of the conditional statement is 'If it is not Saturday, then there is school,' and the converse is 'If there is no school, then it is Saturday.' The 'if-then form' for the required freshman orientation is 'If you are a freshman, then you are required to attend orientation.' In the two-column proof, the missing reason in step 2 is the Subtraction Property of Equality, leading to x=-5.

Step-by-step explanation:

For the conditional statement "If it is Saturday, then there is no school", we can write the following:

• a. Inverse: If it is not Saturday, then there is school.
• b. Converse: If there is no school, then it is Saturday.

To write the following statement in if-then form: "All freshman are required to attend orientation" would be:

If you are a freshman, then you are required to attend orientation.

The two-column proof section would be completed as:

1. 3x+1=-14; Given
2. 3x=-15; Subtraction Property of Equality
3. x=-5; Division Property of Equality