Solving this equality. Then simple plot.

[rcmango]

Homework Statement

7/2x >= -1/4

then put it on a number plot.

Homework Equations

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.

 

[mfb]

The Attempt at a Solution

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

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?

 

[Mark44]

7/2x >= -1/4

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?

 

[rcmango]

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

The way this equality is written is correct.

So i reworked the problem, and I get this answer instead.

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.

 

[Mentallic]

The way this equality is written is correct.

So i reworked the problem, and I get this answer instead.

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

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.

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.

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.

 

[rcmango]

Yes it holds.

and agreed 7x/2,

thanks for all the help.