Choose the graph of the solution to part b above. x<71
The graph of the solution to the inequality x < 71 is a number line starting from negative infinity and stopping at 71, with an open circle at 71 to indicate that it is not included in the solution. The line is shaded to the left of 71 to represent all the numbers that are less than 71.
To choose the graph of the solution for the inequality x < 71, we need to plot all the values on a number line that are less than (but not equal to) 71.
Here's how you can do it:
1. Draw a number line and label it with appropriate values. Start from a lower value than 71 and end with a higher value than 71, so you have some space on both sides. For example, you could label the number line from -100 to 100.
2. Locate the value 71 on the number line. Mark it with an open circle to represent that it's not part of the solution.
3. Shade the region to the left of the open circle. This shaded region represents all the values that are less than 71.
4. Lastly, indicate an arrow pointing to the left side of the number line to show that the shaded region continues indefinitely.
The resulting graph should show a number line with an open circle at 71, a shaded region to the left of the open circle, and an arrow pointing to the left side.
This graph represents all the values of x that are less than 71. Any value to the left of 71 on the number line would satisfy the inequality x < 71.
To graph the solution to the inequality x < 71, we will create an open circle at 71 on the number line and shade everything to the left of it. Here are the steps to graph the solution:
1. Draw a number line with a horizontal arrow pointing to the right.
2. Mark a point at 71 on the number line.
3. Draw an open circle at 71 to indicate that it is not included in the solution.
4. Shade the region to the left of the open circle.
5. Extend the shaded region towards the left indefinitely.
The resulting graph should show a shaded region to the left of the open circle at 71. This represents the values of x that are less than 71.