# Nursing Preparation Study Guide

Nursing Preparation Study Guide Step 1: Simplify the equation 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 = 15 Step 2: Subtract 13 from both sides 2 + 13–13 = 28–13 = Step 3: Multiply both sides by 2 2 × 2 = 15 × 2 2 – 6– 5 = 3 2 – 11 = 3

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

3.5.5 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: − } D ≤ 10 , multiplying both sides by −3 will become, − } D × −3 ≥ 10 × −3 It should be noted that in this case, the sign of inequality has been reversed from ‘less than or equal to’ to ‘greater than or equal to’. Now, let us practice some examples to solve the inequalities. Inequalities Solution + ( + 2) < 16 2 + 2 < 16 Step 1: Simplify the inequality + + 2 < 16 2 < 14 Step 2: Subtract 2 from both sides 2 + 2– 2 < 16– 2

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