Question

Show the work to solve |2x+5| -1 < 6


Describe the graph of the solution in a complete sentence.

Answer 1

Add 1 both sides

|2x+5|+1-1<6+1

Answer 2

|2x+5|<7

Answer 3

Now use the property I used in previous question.

if |ax+b|<c
then -c<ax+b<c

Answer 4

Try it and then tell me what you get for your answer.

Answer 5

-7<2x+5<7

Answer 6

then...

Answer 7

-7<7x<7....?

Answer 8

no, this latest step you did is not correct you subtract the 5 from all sides, not add it to the 2

Answer 9

so then what am i subtracting 5 from?

Answer 10

You should have gotten -12<2x<2

Answer 11

You're subtracting it from all sides

Answer 12

oooooh.

Answer 13

last step is to divide all sides by 2

Answer 14

why divide it?

Answer 15

because the opposite of multiplication is division

Answer 16

yeah but where did it multiply at?

Answer 17

2x = 2 times x

Answer 18

oooooh. okay. so would it be -2<1x<1?

Answer 19

so you would get -6<x<1 after you divide all sides by 2.

And you would describe the solution as x is between -6 and 1

Answer 20

okay so all together it should be...

Answer 21

You would describe the graph of |2x+5| < 7 as:

The absolute value of 2x+5 is less than 7

Answer 22

|2x+5|+1-1<6+1
|2x+5|<7
-7<2x+5<7
-12<2x<2
-6<x<1...?

Answer 23

Oh yes Good Job

Answer 24

really!?

Answer 25

hmm Yea you did that correct