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 inequalit
1 answer
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.
The student's mistake lies in misunderstanding the inequality. The inequality \( -4 < x \) indeed means that \( x \) is greater than -4, and this should be represented on the graph with an open circle at -4 and a shaded region extending to the right (indicating all values greater than -4).
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