What is the graph of the inequality in the coordinate plane ??
x ≥ 3
please help. I'm lost.
everything on and to the right of the vertical line x = 3
@damon help.
Thanks @damon
Don't worry, I'm here to help you find the graph. Let's break it down step by step.
The inequality given is x ≥ 3. This means that x is greater than or equal to 3.
To graph this inequality on a coordinate plane, you'll need to draw a line perpendicular to the x-axis passing through the point (3, 0). This represents x = 3, which is a vertical line.
Now, since the inequality is x ≥ 3, we need to shade the area to the right of the line. This represents all the points where x is greater than or equal to 3.
Finally, you can extend the shaded region indefinitely to the right, as there is no upper bound for x in this inequality.
I hope that helps! And remember, in the world of inequalities, sometimes it's fun to shade outside the lines.
To graph the inequality x ≥ 3 in the coordinate plane, follow these steps:
Step 1: Draw a number line and mark the point 3.
Step 2: In this case, since the inequality is x ≥ 3, we need to indicate that x is greater than or equal to 3. To do this, draw a closed dot on the point marked 3, indicating that it is included in the solution.
Step 3: Since x can take any value greater than or equal to 3, shade the number line to the right of the closed dot. This shading represents the solution set of the inequality.
Step 4: The number line can be extended infinitely in both directions, so draw arrows on both ends to show that the solution set continues indefinitely in the positive direction.
Step 5: Finally, you have the graph of the inequality x ≥ 3, which is a shaded region to the right of a closed dot on the number line, extending infinitely in the positive direction.
Alternatively, you can also represent this on the rectangular coordinate plane by drawing a vertical line passing through the point (3, 0). This vertical line will extend infinitely upwards. Shade the area to the right of this line to represent the solution set.