solve the linear inequality.
5 -7/9x > 7
-
5/1 -7/9x >= 7
-45/7x >= 7
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OpenStudy (anonymous):
is that a subtraction of two inequalities?
OpenStudy (anonymous):
what is that " - " on the 2nd line?
OpenStudy (vortish):
it is suppose to be ge
OpenStudy (anonymous):
ok, no problem...
OpenStudy (vortish):
\[\ge \]
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OpenStudy (anonymous):
so it's like: 5 - (7/9)x >= 7 ?
OpenStudy (vortish):
im trying to do my own work just have some one look at it to catch my mistakes
OpenStudy (anonymous):
I know... that is definitely the way to go.
Step 1: move the 5 from left to right by subtracting 5 from both sides...
5 - (7/9)x >= 7
You can do it...
OpenStudy (vortish):
its \[5 -\frac{ 7 }{ 9 } x \ge 7\]
OpenStudy (anonymous):
works for me :) My step 1 above is still a good start... get the numbers on the right side by subtracting 5 from both sides.
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OpenStudy (vortish):
-7/9x\[\ge 2\]
OpenStudy (anonymous):
yes :)
OpenStudy (anonymous):
yeh, I got it.... -(7/9)x >= 2
Next step... solve for x by multiplying both sides by -(9/7) so you get just "x" on the left.
Here's where you have to reverse the inequality.
OpenStudy (vortish):
x = -14/9
OpenStudy (vortish):
or x - 7/3
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OpenStudy (anonymous):
I think you made a math error...
Here's where we were...
-(7/9)x >= 2
-(7/9)(-9/7)x <= 2(-9/7) multiplying both sides by -9/7 & reversing inequality
x <= -18/7 Done