Question
A student claims that graph below represents the solutions to the inequality: −4<x
What was the student's mistake?
(1 point)
Responses
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 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 x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4
What was the student's mistake?
(1 point)
Responses
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 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 x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4
Answers
GPT-4o mini
The correct response 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.**
This indicates that the student misunderstood the inequality direction and associated the wrong graph representation with the given inequality \( -4 < x \). The correct graph should show that x is greater than -4, which would be represented with an open circle at -4 and a line extending to the right.
**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.**
This indicates that the student misunderstood the inequality direction and associated the wrong graph representation with the given inequality \( -4 < x \). The correct graph should show that x is greater than -4, which would be represented with an open circle at -4 and a line extending to the right.