Question

1. (1 point) what is the conjunction of the following conditionals? a number is divisible by 3 if the sum of the digits of the number is divisible by 3. a. the number is odd. b. the sum of the digits of the number is divisible by 3. c. if the sum of the digits of a number is divisible by 3, then the number is divisible by 3. d. the number is divisible by 3. 6. (1 point) what is the converse of the following conditional? if a point is in the first quadrant, then its coordinates are positive. a. if a point is in the first quadrant, then its coordinates are positive. b. if a point is not in the first quadrant, then the coordinates of the point are not positive. c. if the coordinates of a point are positive, then the point is in the first quadrant. d. if the coordinates of a point are not positive, then the point is not in the first quadrant. 7. (1 point) what is the converse of the following conditional? if a point is in the first quadrant, then its coordinates are positive. a. if a point is in the first quadrant, then its coordinates are positive. b. if a point is not in the first quadrant, then the coordinates of the point are not positive. c. if the coordinates of a point are positive, then the point is in the first quadrant. d. if the coordinates of a point are not positive, then the point is not in the first quadrant.

Explanation:

Para encontrar la conversa de una proposición condicional "Si p, entonces q", se intercambian las partes hipotética (p) y conclusiva (q). En la proposición "Si un punto está en el primer cuadrante, entonces sus coordenadas son positivas", p es "un punto está en el primer cuadrante" y q es "sus coordenadas son positivas". La conversa es "Si las coordenadas de un punto son positivas, entonces el punto está en el primer cuadrante".

Answer:

c. If the coordinates of a point are positive, then the point is in the first quadrant