Answer
- The inequality equation is
x + 5.5 > 8
- The solution is
x > 2.5
- The graph is attached below
Step-by-step explanation
We know that if Anna wants to earn overtime pay, she has to work for more than 8 hours in a day.
In that day in question, she has worked 5.5 hours.
We are then asked to write, solve and graph an inequality to show the values of x that will allow Anna earn overtime this shift.
For Anna to earn overtime, she must work an extra x hours on top the 5.5 hours she has already worked iand the sum of these must exceed 8 hours in order to earn overtime pay. In mathematical terms,
x + 5.5 > 8
This is the inequality equation.
We can then solve it by subtracting 5.5 from both sides
x + 5.5 - 5.5 > 8 - 5.5
x > 2.5
This is the solution to the inequality equation
To now plot the graph,
In graphing inequality equations, the first thing to note is that whenever the equation to be graphed has (< or >), the circle at the beginning of the arrow is usually unshaded.
But whenever the inequality has either (≤ or ≥), the circle at the beginning of the arrow will be shaded.
For this question, the inequality is >, indicating that the circle at the beginning of the graph is unshaded and the x > 2.5 indicates that it is the numbers that are greater than 2.5 that satisfy this equation.
Hope this Helps!!!