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

Identify Number 2: Identify the nature of the number 2. 2 is an integer, and all integers are rational numbers.Properties of Rational Numbers: Understand the properties of rational numbers. The sum of two rational numbers is always a rational number.Apply Property to Problem: Apply the property to the given problem. Since p is rational and 2 is rational, their sum p + 2 must also be rational.Choose Correct Statement: Choose the correct statement from the given choices. The statement that p + 2 is rational is true, so the correct choice is (A)p + 2 is rational.

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

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Math Problems

Algebra 1

Properties of operations on rational and irrational numbers

Full solution

Q. The number

p

is rational. Which statement about

p + 2

is true?

\newline

Choices:

\newline

(A)

p + 2

is rational.

\newline

(B)

p + 2

is irrational.

\newline

(C)

p + 2

can be rational or irrational, depending on the value of

p

Identify Number $2$ : Identify the nature of the number $2$ . $2$ is an integer, and all integers are rational numbers.
Properties of Rational Numbers: Understand the properties of rational numbers. The sum of two rational numbers is always a rational number.
Apply Property to Problem: Apply the property to the given problem. $\newline$ Since $p$ is rational and $2$ is rational, their sum $p + 2$ must also be rational.
Choose Correct Statement: Choose the correct statement from the given choices. $\newline$ The statement that $p + 2$ is rational is true, so the correct choice is (A) $p + 2$ is rational.