Question

$(–9)+(–11)$is greater than $(–9)–(–11)$ State whether the statement is True or False.

• A. True
• B. False

Answer 1

The correct option is B False

Step 1: Solve $(–9)+(–11)$

$-9-11$ ( As $(+)\times (-)=-$ )

$-20$ ( As $(-)+(-)=+$but associated sign with the number must be $-$)

Step 2: Solve $(–9)–(–11)$

$-9+11$( As $(-)\times (-)=+$ )

$2$ ( As $(-)+(+)=-$ but associated sign with the resulting number must be the sign associated with the larger number)

Step 3: Compare $-20$and $2$

As we can see, $-20$is not greater than $2$

Hence, the given statement: $(–9)+(–11)$is greater than $(–9)–(–11)$is $false$.