Question

2 questions, see below. Will return help if needed.

Answer 1

@Dobby1

Answer 2

because of the absolute value sign we end up with an equation that looks like this

\[-3\le x-5\le3\]

Answer 3

now all you have to do is get rid of the 5 since it is x - 5 the 5 is negative so what do we do to get rid of it

Answer 4

add it to both sides? The answer is also in a number line.

Answer 5

yes add it to each side

Answer 6

-2<x-0<3

Answer 7

not negative 2 because we added the five to get rid of it so we added a positive 5 to each side giving us
\[2\le x \le8\]

Answer 8

oh ok.

Answer 9

we add 5 to every side not just the first and second

Answer 10

ok

Answer 11

that is what we do every time we have an equation like this

Answer 12

can I have a medal

Answer 13

how does that look on a number line though?

Answer 14

it looks like a closed dot on 2 with a line all the way to a closed dot at 8

Answer 15

ok, one more question?

Answer 16

because of the absolute value sign we get an equation that looks like
-26<2x+10<26

Answer 17

ok.

Answer 18

the first step is to get rid of the 10 since it is a positive 10 we subtract 10 from each of the sides. remember to subtract 10 from every side

Answer 19

-36<2x+0<16

Answer 20

or
-36<2x<16

Answer 21

ok.

Answer 22

now divide 2 from each side

Answer 23

-18<2x<8

Answer 24

18<x<8 dividing each side by 2 gets rid of the 2 in 2x

Answer 25

ok.

Answer 26

-18<x<8

Answer 27

yes

Answer 28

Thank you.

Answer 29

np