# Homework Help: Solving this equality. Then simple plot.

1. Dec 8, 2012

### rcmango

1. The problem statement, all variables and given/known data

7/2x >= -1/4

then put it on a number plot.

2. Relevant equations

3. The attempt at a solution

7x/7 >= -2/4 = -1/2

-1/2 *7/1 = -7/2

x>= -7/2 and I'm not sure if I'm even correct for that answer, and I have to put it on a number plot.

2. Dec 8, 2012

### Staff: Mentor

How did you get this? You could show your steps to help troubleshooting.
If that /7 is just a typo: What did you do afterwards?
The result is wrong.

Just to make sure: Your original equation is $\frac{7}{2}x \geq -\frac{1}{4}$, so x is not in the denominator?

3. Dec 8, 2012

### Staff: Mentor

We're uncertain as to what you mean by 7/2x. A literal interpretation using operator precedence would be (7/2) * x. Others might incorrectly interpret this as 7/(2x). What did you mean?

4. Dec 9, 2012

### rcmango

The way this equality is written is correct.

2* 7/2*x >= -1/4 *2

7x >= -1/2

7x/7 >= -1/2 / 7/1

x>= -1/14

which on a number plot should be about 0 to wherever (infinity)? including 0.

5. Dec 9, 2012

### Mentallic

Again, you need to be sure to add brackets where necessary because 7/2*x can be confused as 7/(2x). In this case, I'd just go ahead and write 7x/2.

What you have is correct and yes, it'll include x=0 and yes it'll go all the way to infinite. You can try it out for yourself as well! Plug in x=0 for
7x/2 >= -1/4
And see if the inequality holds.

6. Dec 9, 2012

### rcmango

Yes it holds.

and agreed 7x/2,

thanks for all the help.