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 \(2\)\(\frac{-2}{2} ≤ \frac{3}{2}\)

 

\(-1 < \frac{3}{2}\)
Divide each by \(-1\)\(\frac{-2}{-1} ≤ \frac{3}{-1}\) \(2> -3\)

The inequality remains unchanged except when multiplying or dividing by a negative number.

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