To determine which statement is true with regard to the animation, we need to analyze the transport mechanisms involved for potassium (K+) and sodium (Na+) ions.
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Potassium ions are transported down their concentration gradient. - This statement is likely false in the context of active transport.
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Sodium ions are transported down their concentration gradient. - This statement is also likely false in the context of active transport.
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The cell does not expend ATP. - This statement is generally false if the animation is depicting active transport.
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Both sodium and potassium ions are transported against their concentration gradients. - This statement is true if the animation shows a process like the sodium-potassium pump, which actively transports Na+ out of the cell and K+ into the cell against their respective concentration gradients.
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The cell is not expending energy. - This statement is false if the transport involves ATP expenditure.
Based on these analyses, the TRUE statement is likely: "Both sodium and potassium ions are transported against their concentration gradients."