Linear inequalities come in one of the following basic forms: a < x < b x < b x > a x < a or x > b On a daily basis, you are likely to come across situations in which inequalities are alluded to (e.g. “less than”, “more”, “at least”, or “between”) 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: [10:00am, 2:00pm] Graph: The response should be a brand new real world scenario similiar to the question in the format of the example with graph if possible.
Linear inequalities come in one of the following basic forms:
- a < x < b
- x < b
- x > a
- x < a or x > b
On a daily basis, you are likely to come across situations in which inequalities are alluded to (e.g. “less than”, “more”, “at least”, or “between”) 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: [10:00am, 2:00pm]
Graph:
The response should be a brand new real world scenario similiar to the question in the format of the example with graph if possible.
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