For how many integer values of n will the value of the expression 4n + 7 be an integer greater than ...

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For how many integer values of n will the value of the expression n + be an integer greater than and less than ?

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Calculated Answer

10

Step by Step Solution

In order to solve problem, you must evaluate floor((n₃ - n₁) / n₀) - floor((n₂ - n₁) / n₀).

• floor((n₃ - n₁) / n₀) - floor((n₂ - n₁) / n₀)

• Evaluate n₃ - n₁ = 33

  floor(33 / n₀) - floor((n₂ - n₁) / n₀)

• Evaluate 33 / n₀ = 8.25

  floor(8.25) - floor((n₂ - n₁) / n₀)

• Evaluate floor(8.25) = 8

  8 - floor((n₂ - n₁) / n₀)

• Evaluate n₂ - n₁ = -6

  8 - floor(-6 / n₀)

• Evaluate -6 / n₀ = -1.5

  8 - floor(-1.5)

• Evaluate floor(-1.5) = -2

  8 - -2

• Evaluate 8 - -2 = 10

  10
• The answer to the problem and the result of floor((n₃ - n₁) / n₀) - floor((n₂ - n₁) / n₀) is 10