Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The number d d is rational. Which statement about 4d 4 - d is true?\newlineChoices:\newline(A)4d 4 - d is rational.\newline(B)4d 4 - d is irrational.\newline(C)4d 4 - d can be rational or irrational, depending on the value of d d .

Full solution

Q. The number d d is rational. Which statement about 4d 4 - d is true?\newlineChoices:\newline(A)4d 4 - d is rational.\newline(B)4d 4 - d is irrational.\newline(C)4d 4 - d can be rational or irrational, depending on the value of d d .
  1. Identify Number 44: Identify the nature of the number 44. 44 is an integer, and all integers are rational numbers.
  2. Properties of Rational Numbers: Understand the properties of rational numbers. The difference between two rational numbers is always a rational number.
  3. Apply Property to Expression: Apply the property to the given expression.\newlineSince dd is rational and 44 is rational, their difference (4d)(4 - d) must also be rational.
  4. Conclusion: Conclude the nature of the expression based on the previous steps.\newlineTherefore, 4d4 - d is rational.

More problems from Properties of operations on rational and irrational numbers