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.
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.
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Graph it (the equation).
There is no inequality in the question!
shaded
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).
graph
an extraneous solution.
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.
Three solutions for inequality in Year 9 math include: Graphing: Plotting the inequality on a graph helps visualize the solution set, showing all the points that satisfy the inequality. Substitution: Testing specific values in the inequality can help determine if they satisfy the condition, providing a practical way to find solutions. Algebraic Manipulation: Rearranging the inequality by isolating the variable can simplify the problem and lead directly to the solution set.