can you show me how to solve and graph this?
-27>3t
I'd put it into http://www.wolframalpha.com and see what happens.
Someone who knows math will be able to explain it to you, no doubt.
Divide each side by 3:
-27/3 > 3t/3
-9 > t or t < -9
For graphing...
On the number line, use an open dot on -9 (to indicate >) and draw a line extending to the right.
Thank you very much. :-)
For graph:
go on :
w o l f r a m a l p h a . c o m
When page be open in rectangle type :
plot - 27 > 3 t , t = -19 to 1
and click option =
You will see graph
I'm sorry...don't draw the line to the right- draw it to the left.
Sure! To solve the inequality -27 > 3t, we can follow a few steps:
Step 1: Divide both sides of the inequality by 3 to isolate the variable t. Remember that when dividing an inequality by a negative number, the direction of the inequality flips.
-27/3 > 3t/3
-9 > t
Step 2: Simplify the inequality. The inequality -9 > t is equivalent to t < -9.
So, the solution to the inequality -27 > 3t is t < -9.
To graph this solution on a number line, you can follow these steps:
Step 1: Draw a number line and label it accordingly.
Step 2: Mark a closed circle at -9.
Step 3: Shade the region to the left of -9, indicating that all values less than -9 satisfy the inequality t < -9.
Your graph should look like this:
```
-------------------●----------------
-9
```
As you can see, the closed circle at -9 indicates that -9 is not included in the solution set, and the shaded region to the left shows that any value less than -9 satisfies the original inequality.