|
Question 347489: solve the compound inequality. graph the solution set and give the solution in interval notation
x≤3 and x≥-1
Answer by algebrastudent611(8)   (Show Source):
You can put this solution on YOUR website! First of all this inequality is already solved and simplified, so all you need to do is graph it. Now, this is saying that x is less then or/and equal to 3 but greater then or equal to -1. Soon as you see equal to sign and less than signs bells should be going off in your head. equal to symbol is telling you that you need shaded in circles and the less then and greater than are telling you your gonna have to shade a range on the number line because more than 1 or 2 numbers can fit this inequality. I know it's a lot but now would be a wonderful time to take notes on this paragraph and rewrite the compound inequality WITHOUT looking at it.
Now, let's create our graph... i know this can be stressful and overwhelming but lets do it step by step.
1. Make the number line and plot 0, that's it!
2. Now, we already said that it is possible for the number to be -1 and 3 so we are going to plot those points with shaded in circles.
3. We also discussed how many number can fit in this inequality and we will be shading in a range so shade in between the two points of -1 and 3.
Great job! You have made your graph for this inequality!
Checking!!!
You should have a number line with 0, -1 and 3 plotted. -1 and 3 should have shaded in circles and you should have shaded in between -1 and 3 to show the range of numbers possible for the problem.
I know, it seems annoying and alot...but soon as you grasp it you will be good to go!
|
|
|
| |
