👤

Most Essential Learning Competency: Determines the inverse, converse, and contra- positive of an if-then statements.

Directions: Write the converse, inverse and contra positive of the following conditional statements.

1. If you lead, then I will follow.
Converse:
Inverse:
Contra positive:
2. When you are at the party, then you receive a gift.
Converse:
Inverse:
Contra positive:
3. If 3x+4= 11, then x=5.
Converse:
Inverse:
Contra positive:
4. If you wear red, then you will look good.
Converse:
Inverse:
Contra positive:​


Sagot :

Directions: Write the converse, inverse and contra positive of the following conditional statements.

If you lead, then I will follow.

  • Converse: If I will follow, then you will lead.
  • Inverse: If you will not lead, then I will not follow.
  • Contrapositive: If I will not follow, then you won't lead.

When you are at the party, then you receive a gift.

  • Converse: You receive a gift, when you are at the party.
  • Inverse: When you are not at the party, then you will not receive a gift.
  • Contrapositive: You will not receive a gift, when you are not at the party.

If 3x+4= 11, then x=5.

  • Converse: If x=5, then 3x+4= 11
  • Inverse: If 3x+4= 11 is wrong, then x=5 is also wrong.
  • Contrapositive: If x=5 is wrong, then 3x+4= 11 is also wrong.

If you wear red, then you will look good.

  • Converse: If you want to look good, then you will wear red.
  • Inverse: If you don't wear red, then you will not loo good.
  • Contrapositive: If you don't want to look good, then don't wear red.

Converse – is form by exchanging the hypothesis and  the conclusion in the conditional statement. (babaliktarin)

Inverse – is formed by contradicting both the hypothesis and  the conclusion (contradict hindi babaliktarin)

Contrapositive – is formed by interchanging the hypothesis  and conclusion and then contradicting both. (babaliktarin then contradict)