| Operation | Write the statement | Show the new relation |
| Add \(2\) to each | \(-2+2 < 3+2\) | \(0<5\) |
| Subtract \(4\) from each | \(-2-4 < 3-4\) | \(-6 < -1\) |
| Add \(– 2\) to each | \(-2+-2 < 3+-2\) | \(-4 < 1\) |
| Subtract \(– 4\) from each | \(-2 -(-4) < 3-(-4)\) | \(2 < 7\) |
| Multiply each by \(3\) | \(3(-2) ≤ 3(3)\) | \(-6< 9\) |
| Multiply each by \(-1\) | \((-1)(-2)≤ (-1)(3)\) | \(2 > -3\) |
| Divide each by \(2\) | \(\dfrac{-2}{2} ≤ \dfrac{3}{2}\)
| \(-1 < \dfrac{3}{2}\) |
| Divide each by \(-1\) | \(\dfrac{-2}{-1} ≤ \dfrac{3}{-1}\) | \(2> -3\) |
The inequality remains unchanged except when multiplying or dividing by a negative number.
Return to Explore (Inequalities).
