Question

|4x + 1| ≤ 5.
@sprattfield

Answer 1

x is less than or equal to 1? @sprattfield

Answer 2

Is this multiple choice?

Answer 3

No- its a graph thing:/

Answer 4

oh

Answer 5

I got x=-2

Answer 6

Oh ok:) I will type my work in

Answer 7

I am in 9th grade by the way...

Answer 8

I'm in 8th- but in advanced so algebra

Answer 9

I study Algebra 1 Honors

Answer 10

That's really awesome! LOL.
4x+1 less than 5
-1 -1
4x less than 4
-- --
4 4
x equals 1

Answer 11

Phi I want my first account back

Answer 12

the | | means absolute value
if the "inside" is positive, the | | "don't do anything"
example | 3 | = 3
so *if* 4x+1 is 0 or positive, we can drop the | | and solve
4x+1 ≤ 5

can you solve for x in that ?

Answer 13

Sorry if I don't respond quickly I'm taking a test right now.

Answer 14

Would it be..... so positive 1 right?

Answer 15

Yes I believe it would be I don't know why I got x=-2

Answer 16

Lol- ok. I'm going to see what phi says though

Answer 17

you should get
x ≤ 1

Answer 18

next, if the inside is *negative* , the | | makes the inside positive
example: | -3 | = 3
which we can "duplicate" by doing -1* -3
in other words, if 4x+1 is negative in
|4x + 1| ≤ 5
we can write it as
-(4x+1) ≤ 5

or
-4x - 1 ≤ 5

now add +1 to both sides
-4x ≤ 6
can you solve for x now ?

Answer 19

Wait so, -3?

Answer 20

the answer has to be a "relation" not just a number

Answer 21

What?

Answer 22

-4x ≤ 6

to solve this, we can add 4x to both sides
-4x + 4x ≤ 6 + 4x
the left side simplifies to 0
0 ≤ 6 + 4x
now add -6 to both sides
-6 ≤ 4x
now divide both sides by 4
-6/4 ≤ x
simplify -6/4 to -3/2 (or -1.5)
-3/2 ≤ x

that says: x is bigger than -3/2
notice the "big side" of ≤ is next to the "bigger" number (which is x in this case)

Answer 23

what we found is
|4x + 1| ≤ 5
means
x ≤ 1 *and* -3/2 ≤ x

in other words, x is bigger than (or equal to) -1.5 but less than or equal to 1

Answer 24

THANK YOU SO MUCH!!!!!!!!!!!!!!