Which of the following are solutions to [x+3|= 4x - 7? Check all that apply.
A. X = 1/2
B. x = -1/3
1 c. x= -11 /
D. x = 10

x =

Step-by-step explanation:

Given

| x + 3 | = 4x - 7

The absolute value function always returns a positive value, however the expression inside can be positive or negative, thus

x + 3 = 4x - 7 OR - (x + 3) = 4x - 7

Solving the 2 equations

x + 3 = 4x - 7 ( subtract 4x from both sides )

- 3x + 3 = - 7 ( subtract 3 from both sides )

- 3x = - 10 ( divide both sides by - 3 )

x =

OR

- (x + 3) = 4x - 7, that is

- x - 3 = 4x - 7 ( subtract 4x from both sides )

- 5x - 3 = - 7 ( add 3 to both sides )

- 5x = - 4 ( divide both sides by - 5 )

x =

------------------------------------------------------------

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x =

| + 3 | = | | = and 4( ) - 7 = - =

left side = right side

Thus x = is a solution

-----------------------------------------

x =

| + 3 | = | | = and 4( ) - 7 = - = -

left side ≠ right side

Thus x = is an extraneous solution

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.