Graph the solution of each compound inequality.
f > -1 and f < 5
Does this mean I just graph those 2 or solve them and find the intersection then graph?
You should really give yourself a "nickname".
Are you the same 'anonymous' who asked a similar question before?
In that reply I showed how you can change
f > -1 and f < 5 to
-1 < f < 5
on a number line, draw open circles around the -1 and 5 and join them with a solid line.
That is the generally accepted way.
Thanks.Yeah, sorry I was the same one,didn't want to post 2 question at the same time,sorry.
To graph the solution of the compound inequality f > -1 and f < 5, you need to follow a two-step process:
1. Graph each inequality separately:
a. Graph the inequality f > -1 by drawing a dotted line parallel to the x-axis at y = -1. Since the inequality is "greater than," you would shade the area above the line.
b. Graph the inequality f < 5 by drawing another dotted line parallel to the x-axis at y = 5. Since the inequality is "less than," you would shade the area below the line.
2. Determine the common shaded region: The solution to the compound inequality will be the region where the two shaded areas overlap. This is the region that satisfies both the conditions f > -1 and f < 5. Shade the area between the two dotted lines you drew earlier.
By following these steps, you will have graphed the solution to the compound inequality f > -1 and f < 5.