Question

| | x-3 | - 4 | < 2 then x belongs to please solve this please answer i will mark them as brainlist and wrong answer will be reported​

Answer 1

Step 1 :

x

Simplify —

3

Equation at the end of step 1 :

x

(— - 4) - 2 = 0

3

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

4 4 • 3

4 = — = —————

1 3

Adding fractions that have a common denominator :

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (4 • 3) x - 12

——————————— = ——————

3 3

Equation at the end of step 2 :

(x - 12)

———————— - 2 = 0

3

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

2 2 • 3

2 = — = —————

1 3

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(x-12) - (2 • 3) x - 18

———————————————— = ——————

3 3

Equation at the end of step 3 :

x - 18

—————— = 0

3

Step 4 :

When a fraction equals zero :

Here's how:

x-18

———— • 3 = 0 • 3

3

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-18 = 0

Answer 2

Answer:

x=18

Step-by-step explanation:

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