Remember
you can do anyting to an equaiton as long as you do it to both sidess
distributive property
a(b+c)=ab+ac
commutativ property
a+b=b+a
distribute
3(4x-2)=12x-6
12x-6=9+2x+5
add 6 both sides
12x+6-6=9+6+5+2x
12x+0=20+2x
minus 2x
10x=20
divide 10
x=2
Here is the information for the stem-and-leaf plot you gave:
Median: 5
Range: 10
Mean: 6.08
Mode: 8
I don't see where the answers you provided would fit with this at all.
Answer:
absolute value its written as:
| expression | > x
*> written can also be < , ≥ , or ≤
| | (two vertical lines on both sides of something) indicate absolute value
(absolute value considers the space between a number and 0;
| x | = 3
then x could be = 3 or = -3
you can also think of anything inside | | to be written as positive;
| 3 | = 3
| -3 | = 3)
you could also right, from this example: | x | > 3
our value of x could either be greater than 3, or, our x-value is negative (and only the absolute value is greater than 3, meaning that negative -x, is greater than three)
we separate these possibilities into two expressions:
x > 3 - x > 3
· -1 · -1 {inequalities flip direction when multiply by negative}
x < -3
so, x > 3 and x < -3 can be combined:
x > 3 <em>or </em> x < 3
(graph of example attached)
hope this helps!!