Which of the following graphs would represent the solution set for y< 6x-2

Step-by-step explanation:

y< 6x -2

To graph this inequality , replace < symbol with = sign

y= 6x -2

Make a table to graph this equation

x       y= 6x-2

0          -2

1          4

2        10

While grahing we use dotted line,because we have only < symbol

Now we do shading

USe test point (0,0)

y<6x-2

0 < -2   False

We shade the part that does not contains (0,0)

The graph is attached below        

f(x) = y

f(-3) = -5

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.