Solve 4x 5 6 The solution set is Simplify your answers Ty

Solve: |4x - 5| = 6 The solution set is {}. (Simplify your answers. Type an integer or a fraction. Use a comma to separate answers as needed.)

Solution

given |4x-5|=6

we get two equations based on \'x\'

4x-5 =6 and -(4x-5)=6

4x = 6+5 and -4x +5 =6

4x = 11 and -4x = 1

x = 11/4 and x =-1/4

x belongs to { 11/4,(-1/4)}