Questions: Locate the solution on a number line. Draw an open circle when a number is not part of the solution, and a solid circle when a number is part of the solution. Then draw an arrow from the circle to the left to include values less than the number, or an arrow to the right to include values greater than the number.

Locate the solution on a number line. Draw an open circle when a number is not part of the solution, and a solid circle when a number is part of the solution. Then draw an arrow from the circle to the left to include values less than the number, or an arrow to the right to include values greater than the number.

Transcript text: Locate the solution on a number line. Draw an open circle when a number is not part of the solution, and a solid circle when a number is part of the solution. Then draw an arrow from the circle to the left to include values less than the number, or an arrow to the right to include values greater than the number.

Solution

Solution Steps

Step 1: Understanding the Inequality

To graph an inequality, we need to understand the inequality and its solution set. For example, consider the inequality $ x > 2 $.

Step 2: Locate the Solution on a Number Line

We locate the number 2 on the number line. Since the inequality is $ x > 2 $, the number 2 is not included in the solution set.

Step 3: Draw the Circle

We draw an open circle at 2 to indicate that 2 is not part of the solution.

Step 4: Draw the Arrow

We draw an arrow to the right from the open circle to indicate that all numbers greater than 2 are part of the solution.

Final Answer

To graph the inequality $ x > 2 $, we draw an open circle at 2 and an arrow to the right from the circle.

{"axisType": 3, "coordSystem": {"xmin": 0, "xmax": 5, "ymin": -1, "ymax": 1}, "commands": ["y = 0 if x == 2 else None"], "latex_expressions": ["$x > 2$"]}

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