[usaboy94]

-5x+-3>2(3+x)
I know the answer is x<-9/7, but I don't know how to get that answer. I need to get a step by step.

[morgaine300]

Would you know how to solve this if it weren't an inequality? Because the process is the same with one exception.

You want to start by distributing your 2 on the right side.


(May as well write the "+ -3" as just -3 since that's what it means.)

Then you want to get like terms together. You can do this in either order. Add 3 to both sides:





Then subtract 2x from both sides





You can now divide out the -7.



Here's where the difference comes in. When you divide or multiple a negative in an inequality, it turns the sign around. The > is going to become a <.

[usaboy94]

Would you know how to solve this if it weren't an inequality? Because the process is the same with one exception.

You want to start by distributing your 2 on the right side.


(May as well write the "+ -3" as just -3 since that's what it means.)

Then you want to get like terms together. You can do this in either order. Add 3 to both sides:





Then subtract 2x from both sides





You can now divide out the -7.



Here's where the difference comes in. When you divide or multiple a negative in an inequality, it turns the sign around. The > is going to become a <.

Thanks

[morgaine300]

You're welcome. :-)