Solve the inequality -4< {(< greater than or equal to)}4(6y-12)-2y | v -4< 4(6y-12)-2yy> 2 (greater than or equal to sign)y> 4/11 (greater than or equal to sign)y< 3(less than or equal to sign)y< -3(less than or equal to sign)

For this case we have the following inequality:

We must clear "y", so, we have the following steps:

1st step:

Apply distributive property to the right side of the inequality:

2nd step:

We add similar terms:

3rd step:

We add 48 to both sides of the equation:

4th step:

We divide between 22 on both sides:

Thus, the result is given by:

Option 1

it's

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.