9. A student claims that graph below represents the solutions to the inequality: −4<x

Question

What was the student's mistake?

(1 point)
Responses

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 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 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 multiplied by a negative and switched the direction of the arrow on the graph to go right instead of left

Answer 1

The correct response regarding the student's mistake 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 response correctly identifies that the student confused the direction of the inequality when interpreting the graph. The inequality \( -4 < x \) means that \( x \) is greater than -4, which is represented in a graph with an open circle at -4 and shading to the right. If the student showed it incorrectly (e.g., shading to the left), that would be the mistake.