%E2%80%8BA student claims the graph below represents the solutions to the inequality −4 < x with this graph:%0D%0A%0D%0A%0D%0A%0D%0A %0D%0A%0D%0AWhat was the student's mistake?%0D%0A%0D%0AResponses%0D%0A%0D%0AThe student should have multiplied by a negative and switched the direction of the arrow on the graph to go right instead of left%0D%0AThe student should have multiplied by a negative and switched the direction of the arrow on the graph to go right instead of left%0D%0A%0D%0AThe student did not make a mistake; this is the correct graph of the inequality%0D%0AThe student did not make a mistake; this is the correct graph of the inequality%0D%0A%0D%0AThe student should have filled in the point at -4 to show the solution x could be equal to -4 %0D%0AThe student should have filled in the point at -4 to show the solution x could be equal to -4 %0D%0A%0D%0AThe 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's mistake was that they graphed x < -4 instead of -4 < x. The correct graph should show x > -4, going to the right instead of the left.