DIGITAL MATH JOURNEY-NOVEMBER TASK-Esin G.UZUN' s team

Below is an excerpt from Yozgat's weather forecast broadcast on a local television channel.

-Presenter: According to measurements made today, the snow thickness in Bozok is 138 cm. Due to the heavy snowfall during the week, the snow thickness is expected to increase by at least 68 cm and at most 183 cm at the weekend.

Accordingly, which of the following inequality expresses the range of values that snow thickness (x cm) can take in Bozok over the weekend?

• ∣x−138∣≤183

• ∣x−138∣≥68

• 206≤x≤321

• 68≤x−138≤183

• ∣x−138∣≤68

The pH value of a prepared solution is expected to be 7, but the pH value of the solution is considered appropriate up to a deviation of 1 unit in this value.

Accordingly, which of the following is suitable for representing the range in which the pH value of this solution is not considered appropriate with an absolute value inequality?(pH=x)

• |x - 7| ≤ 1

• |x - 7| < 1

• |x - 7| ≥ 1

• |x - 7| > 1

• |x + 7| > 1

A hospital works with an appointment system, starting from 9 in the morning and ending at 5 in the morning. The maximum number of patients that can be admitted per day is 61. If a maximum of 42 and a minimum of 25 patients are examined until the afternoon, find the interval between the lunch break and the end of the working day.

• The range of patient numbers between lunch break and the end of work can be expressed as (19, 36).    

• The range of patient numbers between lunch break and the end of the working day can be expressed as (15, 30)

• The range of patient numbers between lunch break and the end of work can be expressed as (25, 40).

• The range of patient numbers between lunch break and the end of the working day can be expressed as (30, 45)

• The range of patient numbers between lunch break and the end of the working day can be expressed as (20, 35)

Elif, who scored 60 points in her first exam;

When asked, "How many points do you expect to score on the second exam?"

Elif: "I expect to get 20-25 points more than my first exam."

She answers.

Accordingly, in which range can the exam score range that Elif expects to get from the second exam be expressed?

• It can be expressed as the range of points (70, 75) that Elif expects to get from her second exam.

• It can be expressed as the score range (80, 85) that Elif expects to get from her second exam.

• It can be expressed as the score range (60, 65) that Elif expects to get from her second exam.

• It can be expressed as the score range (85, 90) that Elif expects to get from her second exam.

• It can be expressed as the range of points (75, 80) that Elif expects to get from her second exam.

A YKS student studies as much as he wants on Mondays, Tuesdays and Wednesdays.

Working hours on Monday

A value between 3 and 7, and the hours worked on Tuesday are between 2 and 4. This student

If he studied for 4 hours on Wednesday, in what interval can the total hours worked be expressed?

• It can be expressed as the total range of working hours (8, 12)

• The total range of working hours can be expressed as (10, 14)

• It can be expressed as the total range of working hours (9, 15)

• The total range of working hours can be expressed as (5, 11) 

• The total range of working hours can be expressed as (12, 16)

Beyza, who has 900 liras with her, wants to buy a sweater for herself. The price of sweaters in the store where Beyza goes starts from 600 TL. Beyza will buy a sweater and go for coffee with her friends. Since the price of coffee is 120 liras, which of the following could be the price range of sweaters that Beyza can buy?

• (600,900)

• [600,900]

• [600,780]

• [120,600]

•  (780,900)

A restaurant owner who did not have any money in his safe at the beginning of work in the morning sold a total of 8800 TL worth of food in one day. The money in the vault varies depending on the amount of tip received. Restaurant employees remember for sure that they received a tip of 700 TL. Since the restaurant's revenue on that day does not exceed 10,000 TL, what is the range of tips that the restaurant can receive that day?

• [700,1200]

• (700,1200]

• (0.1200)

• [8800,10000]

• (0.700)

The ideal temperature of water in an aquarium containing a species of fish is 10°C.  A device that controls the temperature of this aquarium is activated if there is a difference of more than 4°C between the ideal temperatures and brings the environment to the ideal temperature. Accordingly, Which of the following is the expression of the temperature range in which the device in this aquarium will be activated as an absolute inequality of values?

• |x-10| ≤8

• |x-14| <6

• |x-20| <8

• |x-6|≤10

• |x-8|<10

Ahmet, who walks every morning, saw that he walked at least 5.8 km and a maximum of 6.4 km during this walk. Accordingly, write the length range (km) of the path taken by Bob on his morning walk as the absolute value inequality.

• |x-5,8|≤ 6,4

• |x-3,2|< 6,4

• |x-6,1|≤ 0,6

• |x-2,4|≤ 3,2

• |x-1,6|< 0,4