Question

Express 2.64< m < 7.44 in interval notation. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Type integers or decimals. Do not​ round.) A. The interval is (nothing comma nothing ). B. The interval is [nothing comma nothing ].

Answer 1

Answer:

The interval is (2.64, 7.44)

Step-by-step explanation:

2.64 < m < 7.44 represents a range of values for m. It implies that m include all values greater than 2.64 but less than 7.44.

Answer 2

Answer:

(2.64, 7.44) = {m | 2.64 < m < 7.44}

Step-by-step explanation:

Interval:

An interval is the limit of some number and it represent the two extreme points, the lower limit and the upper limit.

Example:

[5 ≤ z ≤ 20]

The above interval is an example of closed interval where interval limits are included. It basically means that z is greater than or equal to 5 and less than or equal to 20 therefore, the end points 5 and 20 are included.

Square brackets are used for closed interval.

The given interval 2.64 < m < 7.44 is an example of open interval.

In an open interval, the interval limits are not included meaning that m is greater than 2.64 and less than 7.44 therefore, the end points 2.64 and 7.44 are not included.

Round brackets are used to for open interval.

Therefore, the given interval can be written in standard interval notation using,

(a, b) = {m | a < m < b}

a = 2.64 and b = 7.44

(2.64, 7.44) = {m | 2.64 < m < 7.44}