Question

3(x + 4) x - 2

Answer 1

you need to multiply it or factor it??

Answer 2

to solve it

Answer 3

seems like something is missing

Answer 4

yes

Answer 5

>
_ lol

Answer 6

after (x+4)

Answer 7

So

\[\Large 3(x+4) \ge x-2\]

???

Answer 8

yeah

Answer 9

start off by distributing to get

\[\Large 3(x+4) \ge x-2\]

\[\Large 3(x)+3(4) \ge x-2\]

\[\Large 3x+12 \ge x-2\]

What's the next step?

Answer 10

don't know, subtract something?

Answer 11

subtract what from both sides

Answer 12

-2?

Answer 13

we want to isolate x, so let's isolate it on the left side

this means that we must move all the x terms to the left side and everything else to the right side

Answer 14

the +12 on the left side has no x terms, so we must move it to the right side

Answer 15

3x + 12 >_x-2
-12 -12

Answer 16

+ not -

Answer 17

good, that gives you

\[\Large 3x \ge x - 14\]

Answer 18

now subtract x from both sides to move the 'x' on the right side over to the left side

Answer 19

how?

Answer 20

well on the right side, x - x = 0x which is just 0 and that goes away

on the left side, you have to do the same thing to balance things out, so that gives you

3x - x = 3x - 1x = 2x

Answer 21

we now have this

\[\Large 2x \ge -14\]

Answer 22

your last step is to what?

Answer 23

get x alone,

Answer 24

and you do that by doing what

Answer 25

divide 2 by -14
?

Answer 26

good, divide both sides by 2

Answer 27

so your final answer is \[\Large x \ge -7\]

Answer 28

thank you

Answer 29

yw