Mathematical Reasoning 2

If x= -5, x is a root of x² - 25=0

The converse implication is true or false.

• True

• False

Which of the following is statement?

• m² x m³ = m⁶

• 3m + 6n = 9mn

• 3m + 6n

• x²- 4 = 0

Premise 1 : All cats have four legs.

Premise 2 : Tiger is cat.

Conclusion : Tiger has four legs.

• Valid and Sound

• Not Valid and Sound

• Valid and Not Sound

• Not Valid and Not Sound

Premise 1 : _______________________________

Premise 2 : P ∩ Q = P

Conclusion : P ⊄ Q

State the valid premise 1.

• If P ⊄ Q, then P ∩ Q = P

• If P ⊂ Q, then P ∩ Q ≠ P

• If P ∩ Q ≠ P, then P ⊂ Q

3 =2+1

7 =2+4+1

13 =2+9+2

21 =2+16+3

...=...

Form a inductive conclusion

If x = 7, then x²=49.

The converse implication is true or false.

• True

• False

If A ∩ B = A, then A ⊂ B.

The converse implication is true or false.

• True

• False

All multiples of 10 are multiples of 5 and Parallelogram has perpendicular diagonals.

• True

• False

Premise 1 : If m > 0, then m² > 0.

Premise 2 : m < 0

Conclusion : m² < 0

• Valid and Sound

• Not Valid and Sound

• Valid and Not Sound

• Not Valid and Not Sound

Premise 1 : If m is multiple of 5, then m is divisible by 5.

Premise 2 : 20 is divisible by 5.

Conclusion : 20 is multiple of 5.

• Valid and Sound

• Not Valid and Sound

• Valid and Not Sound

• Not Valid and Not Sound