The inequality is given to be:
[tex]2(3d-4)<4+6d-15[/tex]Step 1: Simplify the right-hand side of the inequality
[tex]2(3d-4)<6d-11[/tex]Step 2: Expand the bracket on the left-hand side of the inequality
[tex]6d-8<6d-11[/tex]Step 3: Add 8 to both sides of the inequality
[tex]\begin{gathered} 6d-8+8<6d-11+8 \\ 6d<6d-3 \end{gathered}[/tex]Step 4: Subtract 6d from both sides of the inequality
[tex]\begin{gathered} 6d-6d<6d-3-6d \\ 0<-3 \end{gathered}[/tex]Since we know that 0 is actually greater than -3, it means that the statement above is untrue.
Therefore, the inequality has NO SOLUTION.
