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Checking the following inequality for all of vs Checking the following inequality

Both phrases are correct, but they are used in slightly different contexts. The first phrase 'checking the following inequality for all of' implies that the inequality is being checked for all elements or cases, while the second phrase 'checking the following inequality' is more general and does not specify the scope of the checking.

Last updated: March 17, 2024 • 453 views

Checking the following inequality for all of

This phrase is correct and commonly used when specifying that the inequality is being checked for all elements or cases.

This phrase is used when you want to emphasize that the inequality is being checked for every element or case in a set. It provides a specific scope for the checking process.

Examples:

  • We are checking the following inequality for all of the variables in the equation.
  • The teacher asked the students to verify the inequality for all of the given values.

Alternatives:

  • checking the following inequality for each
  • checking the following inequality for every
  • checking the following inequality for every single
  • checking the following inequality for every element
  • checking the following inequality for every case

Checking the following inequality

This phrase is correct and commonly used in a general context when referring to the act of checking an inequality without specifying the scope.

This phrase is more general and does not specify the scope of the checking process. It can be used when the specific elements or cases are not relevant to the context.

Examples:

  • The mathematician is checking the following inequality to see if it holds true.
  • Before proceeding with the proof, we need to check the following inequality.
  • Dec 19, 2007 ... and checking the following inequality : vW 1,p. 0. (Ω)/Ker B ≤ C (fY p(Ω) + g. W. − 1p ,p. (Γ1). ). (15). Proof- As we have done in the theorem 2.2, ...
  • ing property by checking the following inequality : prog ≤ prog · m1 · prog · m2 · prog. The less than or equal operator (≤) is defined such that a ≤ b is.
  • Jan 27, 2011 ... We checkt to see of the point is in fact inside the circle, this is done by checking the following inequality. x^2 + y^2 < R^2. We keep track of the ...
  • To show that T has the DVRL property, we have to verify that 2. 2. ( ). ( ). G. G t t σ. µ. ≤ for all t > 0. This is equivalent to checking the following inequality: 2. ( ). ( ).

Alternatives:

  • verifying the following inequality
  • examining the following inequality
  • evaluating the following inequality
  • testing the following inequality
  • confirming the following inequality

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