Solve each inequality A.) 3x+536 C.) 6(x+5)11x D.) 5(x+8)-644 I don't think I am even close to figuring any of these out :/

Question

Solve each inequality 

A.) 3x+5<x+17
B.) 3(2x+7)>36
C.) 6(x+5)>11x
D.) 5(x+8)-6>44

I don't think I am even close to figuring any of these out :/

jim_thompson5910 · Answer

solving inequalities is just like solving equations

the only difference is that the sign will flip if you multiply or divide both sides by a negative number

jim_thompson5910 · Answer

I'll do A to get you started

jim_thompson5910 · Answer

3x+5 < x+17


3x+5-5 < x+17-5 ... Subtract 5 from both sides.


3x < x+12


3x-x < x+12-x ... Subtract x from both sides.


2x < 12


2x/2 < 12/2 ... Divide both sides by 2.


1x/1 < 6


1x < 6


x < 6

jim_thompson5910 · Answer

hopefully that makes sense and you can apply it to the others

anonymous · Answer

That does thank you. I just wasn't sure which side to start from. Not a fan of these things. But it makes sense now!

jim_thompson5910 · Answer

you'll get used to them after a while if you practice practice practice

and if you can solve equations, then you can definitely solve inequalities

anonymous · Answer

so true! I need that extra practice. Thank you for getting me started!!

jim_thompson5910 · Answer

you're welcome, glad to be of help