Question

how to solve 5/9x -11 < -51, I know the answer is x<-72, but how do you get that?

Answer 1

start by adding 11 to both sides of the inequality

what do you get

Answer 2

The best method, in my opinion, is first multiply both sides of the equation by the least common denominator. Hence if

(5/9)x − 11 < -51

then multiplying the equation by 9 yields

5x − 99 < -459

5x < -360

x < -360/5

∴ x < -72

Answer 3

you get -40

Answer 4

ok... next step is te eliminate the denominator so multiply both sides of the inequality by 9

can you do that

Answer 5

so 5/9th +45 times 9, and -40 times 9?

Answer 6

I mean 5/9=45

Answer 7

so you will have

\[5x < 40\times9\]

Answer 8

last step is to divide both sides by 5

Answer 9

where do you get the 40 from?

Answer 10

oops that should be - 40

Answer 11

oh okay!

Answer 12

can you show me step by step, I understand until I get to the -40

Answer 13

I get it now, thank you so much :')

Answer 14

I thought I had already shown the solution but I guess my help wasn't wanted. lol