1. 1.5 Solving Inequalities Equations can be represented with statements that contain = Inequalities can be represented with statements that contain ≤,, or ≥

2. Solving Inequalities We can manipulate inequalities using the same operations we perform on equations. 7 = x + 3 7 < x + 3 4 = x 4 < x

3. Solving Inequalities However, there is one additional rule we must observe: Multiplication by -1 or division by -1 forces us to change the inequality operator into it’s reverse! However, there is one additional rule we must observe: Multiplication by -1 or division by -1 forces us to change the inequality operator into it’s reverse! “FLIP IT!”

4. Solving Inequalities Ex21 13 -4k ≤ 27 -4k ≤ 14 k -7 2 k -7 2 -13 -4 ≥≥ Subtract 13 Divide by -4 We divided by -1 (since -4 = -1(4). So we “flip” the inequality!