Question

3x+2+x<1+2x-7

Answer 1

How far were you able to go with this problem before getting stuck?

Answer 2

2x<-9

Answer 3

3x+2+x<1+2x-7
4x+1<2x+-6
4x+1-1<2x-6-1
4x<2x-7
4x<-7-2x
4x-2x<-7
2x<-7

Answer 4

so x = -7/2right ?

Answer 5

3x+2+x<1+2x-7
4x+1<2x+-6 ERROR :( should be ...
4x +2 < 2x -6

Answer 6

oh sorry

Answer 7

it would be 2x<-8
-8/2

Answer 8

x < -4

Answer 9

Visually you can see this by going to http://www.wolframalpha.com and typing

plot 3x+2+x, 1+2x-7

Note that at x = -4 the functions cross and it is precisely after x = -4 where y = 3x+2+x is less than y= 1+2x-7.

Answer 10

okay . so as a interval notation I would put (4,infinity]

Answer 11

negative four. And the infinity would have a ")" instead of a "]" because you can't include infinity in an interval.

Answer 12

so, (4,infinity) ?