Steps to solving these multi step inequalities? 1. 2x + 12 = 6 2. 2(x - 4) = 8(w + 12)

Question

Steps to solving these multi step inequalities? 

1. 2x + 12 >= 6 

2. 2(x - 4) < 6

3. 12 + 10w >= 8(w + 12)

ganeshie8 · Answer

moved to multi step equations is it, nice :)

ganeshie8 · Answer

keep doing the opposite operations.
our goal remains same : isolate the variable.

ganeshie8 · Answer

1. 2x + 12 >= 6 


wat should be our first step in isolating x ?

anonymous · Answer

do we add 2 to both sides or subtract 12?

ganeshie8 · Answer

subtract 12

ganeshie8 · Answer

1. 2x + 12 >= 6 
         -12       -12


2x >=  -6

ganeshie8 · Answer

whew ! its almost isolated.

next divide 2 both sides

ganeshie8 · Answer

2x >=  -6
/2         /2

x >= -3

DONE.

ganeshie8 · Answer

just practice few equations, you wil see which operation is best to do first :)
can u try next equation ?

ganeshie8 · Answer

2. 2(x - 4) < 6

start wid dividing 2 both sides

2(x - 4) < 6
/2             /2

x - 4 < 3

ganeshie8 · Answer

wats the next step ?

anonymous · Answer

add 4 to both sides?

ganeshie8 · Answer

Correct !

anonymous · Answer

okay, so 7 :) how about the last problem?

ganeshie8 · Answer

good :)

ganeshie8 · Answer

3. 12 + 10w >= 8(w + 12)


first distribute 8 on right side

ganeshie8 · Answer

12 + 10w >= 8(w + 12)

12 + 10w  >= 8w + 96

ganeshie8 · Answer

next subtract 8w both sides