Provide a written description of the situation. Express the situation using the appropriate inequality and the correct units , if applicable.

Review the assigned reading to prepare for this discussion.

Linear inequalities come in one of the following basic forms:
a < x < b
x < b x > a
x < a or x > b
Note: The “< can be replaced with “≤” , and “>” can be replaced with “≥” in any of these cases, depending on the context of the problem or situation.

On a daily basis, you are likely to come across situations in which inequalities are alluded to without realizing the connection to math.

Example:
Perhaps you ordered furniture from a local department store and were given a delivery time window between 10 am and 2 pm on a certain day. This situation can be modeled using one of the four inequalities listed above. Additionally, the situation can be modeled graphically and with interval notation, as shown below.

Description: The furniture I ordered will be delivered between 10 am and 2 pm.
Inequality: 10am ≤ x ≤ 2pm
Interval notation:
Graph:

Inequality Graph with inequality 10am ≤ x ≤ 2pm and interval notation 10:00am, 2:00pm

Respond
Come up with a real-life situation that models each of the four types of inequalities listed above.
Provide a written description of the situation.
Express the situation using the appropriate inequality and the correct units , if applicable.
Express the situation using interval notation.