Convert the following in If-then form. Rewrite in Converse, Inverse and Contrapositive.
4. x + 7 = 12, x = 5
5. One who lives in Iloilo is an llongo.
6. A square is a rhombus.
4. x + 7 = 12, x = 5
5. One who lives in Iloilo is an llongo.
6. A square is a rhombus.
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Answer:
Converse: If x = 5, then x + 7 = 12
Inverse: If x + 7 ≠ 12, then x ≠ 5
Contrapositive: If x ≠ 5, then x + 7 ≠ 12
Converse: he/she lives in Iloilo.
Inverse: he/she is not an llongo.
Contrapositive: he/she does not live in Iloilo.
Converse: a square.
Inverse: not a rhombus.
Contrapositive: not a square.
Step-by-step explanation:
If x + 7 = 12, then x = 5
Converse: If x = 5, then x + 7 = 12
Inverse: If x + 7 ≠ 12, then x ≠ 5
Contrapositive: If x ≠ 5, then x + 7 ≠ 12
If one lives in Iloilo, then he/she is an llongo.
Converse: If one is an llongo, then he/she lives in Iloilo.
Inverse: If one does not live in Iloilo, then he/she is not an llongo.
Contrapositive: If one is not an llongo, then he/she does not live in Iloilo.
If a shape is a square, then it is a rhombus.
Converse: If a shape is a rhombus, then it is a square.
Inverse: If a shape is not a square, then it is not a rhombus.
Contrapositive: If a shape is not a rhombus, then it is not a square.