Logic and Proof Exercises

If 4x + 12 = 0, then prove that x² + 2 = 11 using an algebraic proof.

If 4x + 12 = 0, then prove that x² + 2 = 11 using an algebraic proof.

If 4x + 12 = 0, then prove that x² + 2 = 11 using an algebraic proof.

If 4x + 12 = 0, then prove that x² + 2 = 11 using an algebraic proof.

If 4x + 12 = 0, then prove that x² + 2 = 11 using an algebraic proof.

Give the statements and the reasons that prove that if 5 – x² = 1 and , then y = 28.

Statements	Reasons
1. 5 – x2 = 1	Given
2.	Given
3. ?	?

Give the statements and the reasons that prove that if 5 – x² = 1 and , then y = 28.

Statements	Reasons
1. 5 – x2 = 1	Given
2.	Given
3. -x2 = -4	Subtract 5 from both sides of (1)
4. ?	?

Give the statements and the reasons that prove that if 5 – x² = 1 and , then y = 28.

Statements	Reasons
1. 5 – x2 = 1	Given
2.	Given
3. -x2 = -4	Subtract 5 from both sides of (1)
4. x2 = 4	Multiply (3) by -1
5. ?	?

Give the statements and the reasons that prove that if 5 – x² = 1 and , then y = 28.

Statements	Reasons
1. 5 – x2 = 1	Given
2.	Given
3. -x2 = -4	Subtract 5 from both sides of (1)
4. x2 = 4	Multiply (3) by -1
5.	Substitute (4) into (2)
6. ?	?