Clausius inequality is a fundamental principle in thermodynamics that applies to all thermodynamic processes, not just spontaneous ones. It states that for any reversible process, the change in entropy (ΔS) is equal to the heat transfer (Q) divided by the temperature (T), while for irreversible processes, ΔS is greater than Q/T. Therefore, it provides a criterion for the direction of spontaneous processes but is applicable to both spontaneous and non-spontaneous processes.
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There is no inequality in the question!
To determine which values satisfy a given inequality, you'll need to analyze the inequality itself. Start by isolating the variable on one side, if necessary. Then, test values within the solution interval or use a sign chart to identify the ranges that meet the inequality's condition. If you provide the specific inequality, I can help identify the exact values that satisfy it.
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Graph it (the equation).
shaded
There is no inequality in the question!
To determine which values satisfy a given inequality, you'll need to analyze the inequality itself. Start by isolating the variable on one side, if necessary. Then, test values within the solution interval or use a sign chart to identify the ranges that meet the inequality's condition. If you provide the specific inequality, I can help identify the exact values that satisfy it.
graph
graph
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Graph it (the equation).
an extraneous solution.
graph
It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.
To determine if all values of a variable satisfy an inequality, you need to analyze the inequality itself. If it is always true (for instance, a statement like (x + 2 > x + 1) is always true), then all values of the variable satisfy it. However, if specific conditions or limits on the variable exist (like (x > 5)), then only those values that meet the conditions are valid solutions. Thus, the answer depends on the specific inequality in question.
Yes, but only when the inequality is not a strict inequality: thatis to say it is a "less than or equal to" or "more than or equal to" inequality. In such cases, the solution to the "or equal to" aspect will satisfy the corresponding inequality.