LINR 2 | Lesson 2 | Explore (Inequalities Solution)

OperationWrite the statementShow 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.


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