Which are correct representations of the inequality 6 x is greater than or equal to 3 plus 4 times open paren 2 x minus 1 close paren ? Choose three correct answers.

Distribute 4 in the original inequality: 3 + 4(2x − 1) = 3 + 8x − 4, so choice A is equivalent. Simplifying 6x ≥ 8x − 1 gives 1 ≥ 2x, or x ≤ 0.5, which is choice E. On a number line, x ≤ 0.5 is shown by a solid point at 0.5 with shading to the left, as in choice C.

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