Solve and graph the absolute value inequality: |4x + 1| ≤ 5

Question

anonymous · Answer

start with 
$$-5\leq 4x+1\leq 5$$ and solve in two steps
1) subtract 1
2) divide by 4

anonymous · Answer

attachment

anonymous · Answer

solve first, graph second

anonymous · Answer

there are 4 graphs

anonymous · Answer

you won't know what the graph is supposed to look like until you solve it

anonymous · Answer

yeah, i know, it is multiple choice
what i am saying is, you need to solve it first, because otherwise you will not know what the graph is supposed to look like

anonymous · Answer

@AllTheLonelyKillers have you done these before like with graphs?

anonymous · Answer

alright :]

anonymous · Answer

i think so maybe

hero · Answer

@MyChem...@satellite73 knows what he's talking about. Listen to HIM

anonymous · Answer

$$-5\leq 4x+1\leq 5$$ subtract 1$$-6\leq 4x\leq 4$$ divide by $4$\
$$-\frac{6}{4}\leq x\leq 1$$ or 
$$-1.5\leq x\leq 1$$

anonymous · Answer

now that we know what the inequality is, we know what the graph looks like
the stuff shaded between $-1.5$ and $1$ with closed circles at each end

anonymous · Answer

you can't solve for the graph without first solving the inequality
in other words, you cannot look at the graph and say "oh, it is this one" without first solving for $x$

anonymous · Answer

alright :]

anonymous · Answer

http://www.youtube.com/watch?v=HgWjFPQYjBE

anonymous · Answer

@Hero  thanks for the vote of confidence! appreciated

anonymous · Answer

O.O

anonymous · Answer

we are now best friends! <3

anonymous · Answer

of course

anonymous · Answer

I love gerard way! :D