Express the statement as an inequality x is strictly between 4 and 6.

Answer 1

Strictly between means do not include the endpoints of the interval:

4<x<6 (x is strictly between 4 and 6, usually we leave off the word strictly and read statements like the following)

4≤x<6 (x is between 4 and 6, including the 4)

4<x≤6 (x is between 4 and 6, including the 6)

4 ≤x≤6 (x is between 4 and 6, inclusive)

Note that 4<x<6 could also be written as:

|x - 5| < 1 (5 is the midpoint between 4 and 6 and the distance from 5 to either endpoint is 1)

Here is a graph that gives and example of the above:

desmos.com/calculator/lesyiubrx3