Is 7 a solution of the equation 3x + 8 - x = 5x - 4?

No, but x = 4

Step-by-step explanation:

3(7) + 8 - 7 = 5(7) - 4

21 + 8 - 7 = 22

22 = 35 - 4

22 = 31

It is not

How this equation may work is by subtracting the numbers by each side

3x + 8 - x = 2x + 8

2x + 8 = 5x - 4

     -8          -8

2x = 5x - 12

-5x  -5x

-3x = -12

x = 4

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}