Question

What is the solution set of |2x + 4| < 8?

x > –6 and x < 2

x > –4 and x < 4

x < –6 and x > 2

x < –4 and x > 4

Answer 1

well the one thing to bear in mind with absolute values is that
|2x + 4| < 8 really means

+1(2x + 4) < 8 AND
-1(2x + 4) < 8

Answer 2

so, solve those 2 :) and see what you get
one will give you one value for "x"
the other another value for "x"

Answer 3

if we have
|x| < c
we can write x< c and x>-c
so, what can u write |2x+4| <8 as ?

Answer 4

i got b

Answer 5

so, let's do the 1st one
+1(2x + 4) < 8
or
2x+4 < 8

solve for "x"

Answer 6

think of it as 2x+4 = 8
more or less

Answer 7

ok

Answer 8

-4 an 4

Answer 9

2x+4 = 8 \(\ne 4\)