How do you solve # abs(1 - 3b)= - 7#?
2 Answers
This equation has no solutions.
Explanation:
We have to start with the definition of the absolute value.
The absolute value of a non-negative number is this number itself.
Absolute value of the negative number is its negation.
In mathematical symbol it looks like that:
Using this definition, let's divide a set of all possible values of
(a) those where
(b) those where
In case (a) our equation looks like this:
which has a solution
This solution does not belong to the area of
In case (b) our equation looks like this:
which has a solution
This solution does not belong to the area of
So, no solutions are found for this equation.
We can confirm this graphically by observing that function
graph{|1-3x|+7 [-46.23, 46.25, -23.12, 23.1]}
exactly no solutions
Explanation:
because
you can't find any solution which satifies this equation