Respuesta :

wegnerkolmp2741o

Answer:

see below

Step-by-step explanation:

|4x−4(x+1)|=4

First simplify in the absolute value

Distribute

|4x−4x-4|=4

|-4|=4

Taking the absolute value

4 =4

This is always true

X is all real numbers

Pick any value for x and it will be a true statement

x=0

|4*0−4(*0+1)|=4

|-4|=4

Let x = 5

|4*5−4(5+1)|=4

|20−24|=4

|−4|=4

igoroleshko156

Step-by-step explanation:

Step 1:  Distribute

[tex]|4x-4(x+1)|=4[/tex]

[tex]|4x - (4 * x) - (4 * 1)| = 4[/tex]

[tex]|4x - 4x - 4| = 4[/tex]

[tex]|-4| = 4[/tex]

[tex]4 = 4[/tex]

Answer:  All real numbers

Check, pick x = 2

[tex]|4(2) - 4(2 + 1)| = 4[/tex]

[tex]|8 - (4 * 2) - (4 * 1)| = 4[/tex]

[tex]|8 - 8 - 4| = 4[/tex]

[tex]|-4| = 4[/tex]

[tex]4 = 4[/tex]

True

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