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 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

Answer 1

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 is the student's mistake because the inequality \(-4 < x\) is equivalent to saying that \(x > -4\). Hence, the graph should show a ray starting from -4 and extending to the right, not a ray going to the left.