Question

8-5/8x>9 what is the solution set solve the linear inequality

Answer 1

Rearrange this inequality so x is on one side of the inequality and the numbers are on the other. Do you know how to do this?

Answer 2

can you help me

Answer 3

\[8-\frac{5}{8x}>9\]Subtract 8 from both sides.

Answer 4

is it 8-8

Answer 5

Close.\[\cancel8-\cancel8-\frac{5}{8x}>9-8 \]Which simplifies to \[\frac{-5}{8x}>1\]Do you know what to do now?

Answer 6

no

Answer 7

Try to multiply each side of the inequality by 8x. What do you get?

Answer 8

not sure

Answer 9

Did you try it?

Answer 10

i do not know where to start

Answer 11

Let's try to multiply both sides of the inequality by x (instead of 8x). I am trying to get just x on one side of the inequality and all the numbers on the other side.\[x \times \frac{-5}{8x}>1 \times x\] What is the resulting inequality?

Answer 12

1*x

Answer 13

Okay. That is what you get on the right side of the inequality. But what do you get on the left side of the inequality?

Answer 14

not sure

Answer 15

what is \[x \times \frac{-5}{8x}\]

Answer 16

the solution set

Answer 17

?

Answer 18

x*-5/8x

Answer 19

\[\cancel x \times \frac{-5}{8\cancel x}>1 \times x\]The inequality now simplifies to \[\frac{-5}{8}>x\]

Answer 20

so is that the solution-5/8>x

Answer 21

Yes. I think you need to work on how to rearrange equations and inequalities to find a solution.