​A student claims the graph below represents the solutions to the inequality −4<x

with this graph:

What was the student's mistake?

The student's mistake is that they misinterpreted the inequality sign. The correct interpretation of the inequality sign is "-4 < x," which means that x is greater than -4. However, the student mistakenly thought it meant x is less than -4.

The student's mistake is that they graphed the solutions to the inequality as shaded below the number line, which represents x values less than -4. However, the correct representation of the solutions to the inequality -4 < x would be shading above the number line, representing x values greater than -4.