Question

a chef knows that ground beef used for hamburger is safe to eat once it reaches 160 degrees fahrenheit. for optimized taste and safety, he will not allow a hamburger cooked to a temperature under 160 degrees or over 170 degrees to be served. which graph represents the conditions under which the chef will not allow the hamburger to be served?

Explanation:

Step1: Analyze the temperature range

The chef does not allow the hamburger to be served if the temperature is under 160 degrees or over 170 degrees. This means the values \(t < 160\) or \(t>170\) (where \(t\) is the temperature) are the non - serving conditions.

Step2: Interpret the graph symbols

An open circle on a number line indicates that the number is not included in the set. A closed circle indicates that the number is included. For the inequality \(t < 160\) or \(t>170\), we need open circles at \(t = 160\) and \(t = 170\) with arrows going in the directions of the inequalities (left for \(t < 160\) and right for \(t>170\)).

Answer:

The graph with open circles at 160 and 170 and arrows going in the directions away from the interval \([160,170]\) (i.e., left from 160 and right from 170) is the correct one.