Respuesta :

The solutions to the absolute functions |3x - 1| - |2x + 5 - (5 - x)| = 0,  |2(x + 1) - 4| - 4| = |2 - 2(2 - x)|, |(x - 2) / 4| - 1/3 = x and 1/2|x - 3| - 1 = |x - 3| + 2 are 1/6, 1, 2/15 and no solutions respectively

Absolute Function

An absolute value function is a function in algebra where the variable is inside the absolute value bars. This function is also known as the modulus function and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number. Generally, we can represent the absolute value function as, f(x) = a |x - h| + k, where a represents how far the graph stretches vertically, h represents the horizontal shift and k represents the vertical shift from the graph of f(x) = |x|. If the value of 'a' is negative, the graph opens downwards and if it is positive, the graph opens upwards.

In the questions given;

Question 1

|3x - 1| - |2x + 5 - (5 - x)| = 0

x = 1/6

Question 2

|2(x + 1) - 4| - 4| = |2 - 2(2 - x)|

x = 1

Question 3

|(x - 2) / 4| - 1/3 = x

x = 2 / 15

Question 4

1/2|x - 3| - 1 = |x - 3| + 2

This equation does not have a solution

Learn more on absolute functions here;

https://brainly.com/question/24368848

#SPJ1

Otras preguntas