Need help solving an inequality

Question

5x+6 >/= -7/4x-1

 

I subtract 5x from both sides

 

-7/4 - 5/1 = 27/4?

 

6 >/= -27/4x - 1

 

Then I add 1 to each side

 

7 >/= -27/4x

 

Finally I attempted to divide each side by -27/4 to get x alone

 

7 divided by -27/4 = -28/27?

 

My answer is -28/27 </= x but I think I'm wrong. The form I need to answer online requires me to put a mixed fraction, but I don't want to put -0 because -0 28/27 seems improper? Would this represent the same thing?

Answer 1

5x +6 >= (-7/4)x -1

lets add (7/4)x to both sides to keep the x variable positive

5x+ (7/4)x + 6 >= -1

Subtract 6 from both sides

5x + (7/4)x >= -1 -6

(20/4)x + (7/4)x >= -7

(27/4)x >= -7

multiply both sides by 4/27

x >= (-7)(4/27)

x >= -28/27

x >= -1 1/27

 

You have the correct answer you just need to change -28/27 to

-1 1/27