What interval includes all possible values of x , where negative 3 times open paren 6 minus 2 x close paren is greater than or equal to 4 x plus 12 ?

Distribute −3 across the parentheses: −18 + 6x ≥ 4x + 12. Subtract 4x from both sides and add 18 to both sides to get 2x ≥ 30, so x ≥ 15. The interval [15, ∞) includes 15 and every greater value, which is choice A.

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