Question

write an inequality that compares the given numbers.
-3; -6

an inequality is

does the inequality remain true when you add 2 to each side?

yes

no

justify your answer.

because they are different

Explanation:

Step1: Compare the two numbers

On the number line, $-3$ is to the right of $-6$, so $-3 > -6$.

Step2: Add 2 to each side

Add 2 to both sides of the inequality:

$$\begin{align} -3 + 2 &> -6 + 2 \\ -1 &> -4 \end{align}$$

Step3: Verify the new inequality

$-1$ is greater than $-4$, so the inequality remains true.

Answer:

The initial inequality is $\boldsymbol{-3 > -6}$
The correct option is: yes
Justification: When adding 2 to each side, we get $-1 > -4$, which is a true statement, so the inequality remains valid.