Question

|x-3| = |9-2x| solve the following question​

Answer 1

x = 4 or x = 6

Explanation:

to solve the inequality

solve both

x - 3 = 9 - 2x OR x - 3 = - (9 - 2x)

x - 3 = 9 - 2x ( add 2x to both sides )

3x - 3 = 9 ( add 3 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

OR

x - 3 = - (9 - 2x)

x - 3 = - 9 + 2x ( subtract 2x from both sides )

- x - 3 = - 9 ( add 3 to both sides )

- x = - 6 ( multiply both sides by - 1 )

x = 6