Question

Para controlar la pandemia, se ha restringido la salida de las personas de sus casas. Esta medida se denomina cuarentena y es una de las principales maneras de disminuir el número de contagios. Las restricciones de salida que se han ido tomando son las siguientes: o • A: En Guayaquil, la primera semana no se podía salir de casa desde las 12h00 hasta las 6h00. • B: En el resto del país, la primera semana no se podía salir de casa desde las 20h00 hasta las 6h00. • C: En todo el país, desde la tercera semana no se puede salir de casa desde las 14h00 hasta la 6h00. • D: Si los casos de contagio siguen en aumento potencial, se pensaría en una restricción de 24 horas. Actividades 1. Representa en forma de intervalo y sobre la recta numérica los 4 casos de restricciones planteados. 2. Resuelve el intervalo correspondiente a las siguientes operaciones: A U B C ∩ D

Answer 1

The graphical representation of the intervals as well as the solutions of the operation on the number line can be found in the attachment.

A ∪ B = (0, 6) ∪ (12, 24)

C ∩ D = (0, 6) ∩ (14, 24)

Question:

To control the pandemic, people have been restricted from leaving their homes. This measure is called quarantine and is one of the main ways to decrease the number of infections. The exit restrictions that have been taken are the following: o

• A: In Guayaquil, the first week you could not leave home from 12:00 to 6:00.

• B: In the rest of the country, the first week you could not leave home from 8:00 p.m. to 6:00 a.m.

• C: In the whole country, from the third week onwards you cannot leave the house from 2:00 pm to 6:00 am.

• D: If the cases of contagion continue to increase potentially, a 24-hour restriction would be considered. Activities 1. Represent in the form of an interval and on the number line the 4 cases of restrictions posed.

2. Solve the interval corresponding to the following operations: A∪B; C∩D

Explanation:

1. The time in Hours is represented on the number line.

A) Restrictions From 12.00pm until 6.00am

In hours: 0 to 6.00am; 12.00pm to 24.00pm

(0, 6); (12, 24)

B. Restriction from 8.00pm to 6.00am

In hours: 20:00pm to 24.00pm; 0 to 6:00 am

(0, 6); (20, 24)

C. Restriction from 2.00pm to 6.00am

In hours: 14:00pm to 24.00pm; 0 to 6:00am

(0, 6); (14, 24)

D. 24hr restrictions

In hours: 00:00am until 24:00pm

(0, 24)

2. From the graph,

A ∪ B = (0, 6) ∪ (12, 24)

C ∩ D = (0, 6) ∩ (14, 24)

Where '∪' mean the union of A and B. That is, we combine all the element of A and B together.

And '∩' mean the intersection of C and D. That is we pick the values common to C and D.