Questions: Which inequality is graphed below? x > -2 x ≤ -2 x < -2 x ≥ -2

Transcript text: Which inequality is graphed below? $x>-2$ $x \leq-2$ $x<-2$ $x \geq-2$

Solution

Solution Steps

Step 1: Identify the type of inequality

The graph shows a number line with an open circle at -2 and a shaded region extending to the right. An open circle indicates that -2 is not included in the solution set.

Step 2: Determine the direction of the inequality

Since the shaded region extends to the right, the inequality represents values greater than -2.

Step 3: Write the inequality

The inequality that represents values greater than -2, but not including -2, is $ x > -2 $.

Final Answer

The correct inequality is $ x > -2 $.

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