A student claims the graph below represents the solutions to the inequality −4<x
with this graph:
What was the student's mistake?
(1 point)
Responses
The student did x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4
The student did x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4
The student should have filled in the point at -4 to show the solution x could be equal to -4
The student should have filled in the point at -4 to show the solution x could be equal to -4
The student should have multiplied by a negative and switched the direction of the arrow on the graph to go right instead of left
The student should have multiplied by a negative and switched the direction of the arrow on the graph to go right instead of left
The student did not make a mistake; this is the correct graph of the inequality
The student did not make a mistake; this is the correct graph of the inequality
The student's mistake is that they did not fill in the point at -4 to show that x could be equal to -4.
The student's mistake is that they incorrectly wrote the inequality. The graph shown represents the solutions to the inequality -4 < x, when it should actually be x > -4. So, the correct answer is:
The student did x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4