how to graph 1_<x_<5

Question

I'm doing linear programming but forgot how to graph 1 less than or equal to x less than or equal to 5

Answer 1

Hi Samuel, the graphing of 1 ≤ x ≤ 5, can be done using the number line. On the number line you use two different symbols.

 

Here are the combination you can use:

 

Use ( for greater than.

 

Use ) for less than.

 

Use [ for greater than or equal to.

 

Use ] for less than or equal to.

 

For x greater than some number and less than some other number, use (a, b).

 

For x greater than or equal to some number and less than or equal to some other number, use [a, b].

 

Other combinations are, (a, b] and [a, b)

 

Number line:

 

The number line is usually centered around 0 like this:

 

 +----+----+----0----+----+----+

-3     -2    -1             1     2      3

 

For 1 ≤ x ≤ 5, we would write, [1, 5] and have the following on the number line:

 

 +----+----+----0----[----+----+----+----]----
-3    -2     -1            1     2      3      4      5

 

Questions?