Solve the inequality. 2 times open paren 4 x minus 3 is greater than or equal to negative 3 times open paren 3 x close paren plus 5 x

Distribute on both sides: 2(4x − 3) = 8x − 6 and −3(3x) + 5x = −9x + 5x = −4x. Then 8x − 6 ≥ −4x, so 12x ≥ 6 and x ≥ 0.5. The solution is choice D, x is greater than or equal to 0.5.

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