Question

Consider the following inequality:2(3z - 4) > - 2z + 16Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.

Answer 1

Let's solve the inequality:

`\begin{gathered} 2(3z-4)\ge-2z+16 \\ 6z-8\ge-2z+16 \\ 6z+2z\ge16+8 \\ 8z\ge24 \\ z\ge(24)/(8) \\ z\ge3 \end{gathered}`

Therefore the solution of the inequality is:

`z\ge3`