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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.

Consider the following inequality23z 4 gt 2z 16Step 1 of 2 Solve the linear inequality for the given variable Simplify and express your answer in algebraic nota class=

Respuesta :

Let's solve the inequality:

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

Therefore the solution of the inequality is:

[tex]z\ge3[/tex]