Q:

Rita must have all the orders placed right now done in 7 days or fewer. How will this change your inequality and your graph?Write an inequality to represent each situation. Then, graph the solution.

Accepted Solution

A:
Answer:the required inequality is: [tex]4< x\leq 7[/tex]The graph is shown in figure.Step-by-step explanation:Consider the provided information.Let the number of days is represented by x.Let us consider previously she was taking more than 4 days. For more than 4 days the inequity is: [tex]x > 4[/tex]Rita must have all the orders placed right now done in 7 days or fewer. Thus, the required inequality is:[tex]4< x\leq 7[/tex]Now draw the graph of the inequality.Use a dot or close circle to represents ≀ and use an open circle to represent <.The value of x is greater than 4 but less than or equal to 7, Thus the required graph is shown in figure.The inequality and graph depends upon the range for the number of days.So, the graph will change according to the previous days which you have chosen or given.For this situation the minimum number of days can be greater than 4 but the maximum number of days can be 7 or less.