Question

Graph these inequalities!

Answer 1

I believe the answer to the first problem is -3≤x<2
and the 2nd is x>2 or x<-6

Answer 2

@AriPotta help?!

Answer 3

ok, i will try to help but write down the equation for me?

Answer 4

I attached them above @MikiaseKebede

Answer 5

\[\left| 2\chi+1\right|\le5\]

Answer 6

ok i just want to get a clear shot at the problem

Answer 7

@MikiaseKebede

Answer 8

ok, i see it

Answer 9

ok first you want to solve the inequalities? right

Answer 10

yeah I got -3≤x<2 and x>2 or x<-6

Answer 11

@MikiaseKebede

Answer 12

|2x+1| <= 5


-5 <= 2x+1 <= 5


-5-1 <= 2x <= 5-1


-6 <= 2x <= 4


-6/2 <= x <= 4/2


-3 <= x <= 2


So your first answer is correct but you forgot to say "or equal to" for the second inequality sign.

Answer 13

oh whoopsy! but how do you graph those? like which answers are they? a,b,c, or d? @jim_thompson5910

Answer 14

-3 <= x <= 2

means you'll have closed circles at -3 and 2. You'll then shade the region between -3 and 2

Answer 15

this is basically a visual way of saying "x is between -3 and 2 (including both endpoints)"

Answer 16

so the first one is B, correct? @jim_thompson5910

Answer 17

correct

Answer 18

and help on the 2nd one? @jim_thompson5910

Answer 19

|2x+4| > 8

2x+4 > 8 or 2x+4 < -8

2x > 8-4 or 2x < -8-4

2x > 4 or 2x < -12

x > 4/2 or x < -12/2

x > 2 or x < -6

x < -6 or x > 2

Answer 20

So that one is C? @jim_thompson5910

Answer 21

exactly

Answer 22

Thanks so much! @jim_thompson5910

Answer 23

np