Given the numbers \(-2\) and \(3\) marked on the number line below.
The relation between these numbers is shown as \(-2<3\)
Perform the following calculations to determine the nature of the inequality.
|Operation||Write the statement||Show the new relation|
|Add \(2\) to each||\(-2 + 2 < 3 + 2\)||\(0<5\)|
|Subtract \(4\) from each|
|Add \(– 2\) to each|
|Subtract \(– 4\) from each|
|Multiply each by \(3\)|
|Multiply each by \(-1\)|
|Divide each by \(2\)|
|Divide each by \(-1\)|
- As you add or subtract, how does the inequality change?
- As you multiply or divide, how does the inequality change?
- Make a conjecture regarding the nature of the inequality when you add, subtract, multiple, or divide.