Question

If $x$ and $y$ are negative rational numbers, then so is $x+y$. State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is A True

Verify the given statement

Let us assume that, $x$ and $y$ as two negative rational numbers, such that,

$x=\frac{–4}{6}$ and $y=\frac{-7}{6}$

Then,

$$\begin{gathered} x+y=\frac{-4}{6}+\frac{-7}{6} \\ =\frac{(-4)+(-7)}{6} \\ =\frac{-4-7}{6} \\ =\frac{-11}{6} \end{gathered}$$

Clearly, $x+y$ is also a negative rational number.

Hence, the given statement is True.