Which inequality models this number puzzle?

Answer:
[tex]4x-8\geq 12[/tex]
Step-by-step explanation:
Let
x-----> the mystery number
Multiply the mystery number by 4
4x
Subtract 8
4x-8
The result is greater than or equal to 12
[tex]4x-8\geq 12[/tex] ----> inequality that models the number puzzle
Solve for x
[tex]4x\geq 12+8[/tex]
[tex]4x\geq 20[/tex]
[tex]x\geq 5[/tex]