Question Type 4: Solving absolute value equations by considering all possible conditions Exercises

Solve the equation $|x^2 - 9| + |x - 3| = 6$.

Solve the equation $|x^2 - 5x + 6| + |2x-3| = 4$.

Solve the equation $|x^2 - 4| + |x+1| = 5$.

Solve the equation $|x^2 - 4x| = |2x - 4|$.

Solve the equation $|2x+1| = 7$.

Solve the equation $|x^2 - 4| + |x^2 - 5x + 6| = 7$.

Solve the equation $|x^2 - 4| = 6$.

Solve the equation $|x-3| = 5$.

Solve the equation $|x-2| + |x+2| = 6$.

Solve the equation $|3x-2| + |x-1| = 4$.

Solve the equation $|x^2 - 1| = |x - 1| + 2$.

Solve the equation $|x+1| + |x-2| + |x-4| = 6$.