how to solve 5/9x -11

Question

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

campbell_st · Answer

start by adding 11 to both sides of the inequality

what do you get

calculusfunctions · Answer

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

anonymous · Answer

you get -40

campbell_st · Answer

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

anonymous · Answer

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

anonymous · Answer

I mean 5/9=45

campbell_st · Answer

so you will have 

$$5x < 40\times9$$

campbell_st · Answer

last step is to divide both sides by 5

anonymous · Answer

where do you get the 40 from?

campbell_st · Answer

oops that should be - 40

anonymous · Answer

oh okay!

anonymous · Answer

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

anonymous · Answer

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

calculusfunctions · Answer

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