College Math

2 + 10 − 10 = 70 − 10 Step 3: Divide both sides by 2 2 2 = 60 2 Step 1: Simplify the equation 2 – 11 = 3

=

2 – 6– 5 = 3

2 = 14 Step 2: Add 11 to both sides 2 – 11 + 11 = 3 + 11 = Step 3: Multiply both sides by 2 2 × 2 = 14 × 2 Step 1: Simplify the equation 2 × 2 2 × 1 − 2 + 13 = 28

2 – 2 + 10 − 12 + 15 = 28 3 2 + 13 = 28

3 2 = 15

Step 2: Subtract 13 from both sides 3 2 + 13– 13 = 28– 13

=

Step 3: Multiply both sides by 2 3 3 2 × 2 3 = 15 × 2 3 1.6 Solving Inequalities While solving inequalities, we need to apply the same rules of operations (addition, subtraction, multiplication, and division). As with equations, whatever is done to one side must be done to the other side. However, there is one additional rule: If multiplying or dividing by a negative number, reverse the sign of inequality. For instance: − 3 ≤ 10 , multiplying both sides by −3 will become, − 3 × −3 ≥ 10 × −3

©2018

Achieve

Page 11

of 120