Angel, Juan y Ricardo son hermanos. Durante el mes de agosto viajaron a visitar a sus padres que viven en Huancayo. Angel llega

Answer:

a) The entire family will be together from August 10 through August 12.

(August 10) ≤ t ≤ (August 12)

This means the family spends nearly 3 days together.

b) The parents will have at least one visitor from August 2 to August 20.

(August 2) ≤ t ≤ (August 20)

This accounts for roughly 19 days.

Step-by-step explanation:

English Translation

Angel, Juan, and Ricardo are siblings. In August, they visited their parents in Huancayo. Angel arrives on August 5 and stays until just before August 12. Juan begins his vacation on August 2, getting 15 days off, which leads him to stay from the start to the end of his vacation at his parents' home. Ricardo stays at their parents' house from the 10th until just before the 20th. a) What is the time frame during which the whole family is together? Provide a symbolic representation of your answer. b) What is the time frame for visits for Angel's parents? Represent it as an interval and explain the operation used to determine your answer.

Solution

- Angel arrives August 5 and stays until just before August 12.

The period Angel is present is expressed as:

August 5 ≤ Angel ≤ August 12

- Juan arrives on August 2 and, having 15 days, his departure is on August 17.

The period Juan is present is:

August 2 ≤ Juan ≤ August 17

- Ricardo is present from August 10 to 20.

The period Ricardo is present is:

August 10 ≤ Ricardo ≤ August 20.

a) The timeframe the entire family will spend together

Assuming the parents are always at their house.

By using the day's number to symbolize days in August,

5 ≤ Angel ≤ 12

2 ≤ Juan ≤ 17

10 ≤ Ricardo ≤ 20

5 ≤ t ≤ 12

2 ≤ t ≤ 17

10 ≤ t ≤ 20

To find the period when the entire family is together, we take the maximum out of the lower limits and the minimum from the upper limits:

10 ≤ t ≤ 12

Thus, they are together from August 10 to August 12, which is approximately 3 days.

b) What is the duration during which Angel's parents will have visitors?

5 ≤ Angel ≤ 12

2 ≤ Juan ≤ 17

10 ≤ Ricardo ≤ 20

5 ≤ t ≤ 12

2 ≤ t ≤ 17

10 ≤ t ≤ 20

To define the time frame for when the parents receive visits, we take the minimum of the lower limits and the maximum of the upper limits:

2 ≤ t ≤ 20

Therefore, the parents have at least one visitor from August 2 to August 20.

This sums up to around 19 days.

Hope this helps!!!