Question

solve the linear inequality
8> 8 - 5x
_8
0>5x
-5
-5> x

Answer 1

you may be missing the algebra a bit...
8 > 8 - 5x

First step is correct... subtract 8 from both sides.

8 - 8 > 8 - 8 -5x
0 > 0 - 5x
0 > -5x
0 < 5x <<-- multiply through by -1 and reverse (so far so good)

Answer 2

so it would be 1>5x

Answer 3

why?

Answer 4

so the answer is 0>5x then

Answer 5

8 > 8 - 5x

8 - 8 > 8 - 8 -5x <<-- subtract 8 from both sides
0 > 0 - 5x
0 > -5x
0 < 5x <<-- multiply through by -1 and reverse the inequality
0/5 < 5x/5 <<-- divide both sides by 5 to solve for "x"
0 < x

Answer 6

k

Answer 7

You're not done till "x" is all alone. Just keep stripping away whatever is around "x" until it's by itself. You have to play by the algebra rules... do stuff to both sides, etc.... but little by little you remove the "garbage" around "x" to solve for "x".