The number y is rational. Which statement about y - 2 is true? Choices: (A)y - 2 is rational. (B)y - 2 is irrational. (C)y - 2 can be rational or irrational, depending on the value of y.

Identify Number 2: Identify the nature of the number 2. 2 is a whole number, which is also a rational number because it can be expressed as the fraction 2/1.Properties of Rational Numbers: Understand the properties of rational numbers. A rational number minus another rational number is always a rational number. This is because the subtraction of two fractions (which rational numbers can be expressed as) results in another fraction, which is a rational number.Apply Property to Problem: Apply the property to the given problem. Since y is rational and 2 is rational, their difference y - 2 will also be rational.

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The number $y$ is rational. Which statement about $y - 2$ is true? $\newline$ Choices: $\newline$ (A) $y - 2$ is rational. $\newline$ (B) $y - 2$ is irrational. $\newline$ (C) $y - 2$ can be rational or irrational, depending on the value of $y$ .

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Math Problems

Algebra 1

Properties of operations on rational and irrational numbers

Full solution

Q. The number

y

is rational. Which statement about

y - 2

is true?

\newline

Choices:

\newline

(A)

y - 2

is rational.

\newline

(B)

y - 2

is irrational.

\newline

(C)

y - 2

can be rational or irrational, depending on the value of

y

Identify Number $2$ : Identify the nature of the number $2$ . $2$ is a whole number, which is also a rational number because it can be expressed as the fraction $\frac{2}{1}$ .
Properties of Rational Numbers: Understand the properties of rational numbers. A rational number minus another rational number is always a rational number. This is because the subtraction of two fractions (which rational numbers can be expressed as) results in another fraction, which is a rational number.
Apply Property to Problem: Apply the property to the given problem. $\newline$ Since $y$ is rational and $2$ is rational, their difference $y - 2$ will also be rational.