These are the values I get, as well.Helly123 said:
so what's the max and min of x? because the key answer not 1/3 and 5/3. but 1/3 and 1Mark44 said:
To solve the 2 absolute equation equality, you need to isolate the absolute value expressions on either side of the equal sign and then set up two separate equations. One with the positive value and one with the negative value of the absolute expressions. Then solve for the variable in each equation and check for extraneous solutions.
One example of the 2 absolute equation equality is |x + 3| = |2x - 5|. In this equation, isolating the absolute value expressions would give us two separate equations: x + 3 = 2x - 5 and -(x + 3) = 2x - 5. Solving these equations would give us the solutions x = 4 and x = 2.
The absolute value in this equation refers to the distance of a number from 0 on the number line. It is always a positive value, regardless of the sign of the number. In the 2 absolute equation equality, we are looking for values of the variable that would make both absolute expressions equal to each other.
To find the maximum and minimum values of x in the 2 absolute equation equality, you need to consider all possible cases. This means setting up and solving the two separate equations, one with the positive value and one with the negative value of the absolute expressions. The maximum and minimum values of x would then be the solutions that satisfy both equations.
Yes, there are two special cases to consider when solving the 2 absolute equation equality. The first is when the absolute expressions are equal to each other, in which case there would be infinitely many solutions. The second is when the absolute expressions are both equal to 0, in which case there would be no solutions. These special cases should be checked for when solving the equations.