Solving Inequalities by Addition & Subtraction. Objective: 7.5.03 Essential Question: How can we use inverse operations to solve one step addition and.

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Solving Inequalities by Addition & Subtraction

Objective: Essential Question: How can we use inverse operations to solve one step addition and subtraction ? How can we use inverse operations to solve one step addition and subtraction inequalities? Solving Inequalities by Addition & Subtraction

Review: Solving Inequalities by Addition & Subtraction < - is less than - is fewer than > - is more than - is greater than ≤ - is less than or equal to - is no more than ≥ - is greater than or equal to - is no less than

Real World: Brandi has $30 to spend on food and rides at a carnival. She has already spent $12 on food. Write an inequality and determine how much money she can spend on rides Inequality: m + 12 ≤ 30 m ≤ 18 Brandi can spend up to $18 on rides. Solving Inequalities by Addition & Subtraction

Example 1: Solve x + 3 > 9. x + 3 > 9 Solving Inequalities by Addition & Subtraction

Example 1: Solve x + 3 > 9. x + 3 > 9 – 3 – 3 x > 6 Solving Inequalities by Addition & Subtraction

Example 1: Solve x + 3 > 9. x + 3 > 9 – 3 – 3 x > Solving Inequalities by Addition & Subtraction

Example 2: Solve x – 3 < 9. x – 3 < 9 Solving Inequalities by Addition & Subtraction

Example 2: Solve x – 3 < 9. x – 3 < x < 12 Solving Inequalities by Addition & Subtraction

Example 2: Solve x – 3 < 9. x – 3 < x < Solving Inequalities by Addition & Subtraction

Example 3: Solve x + 3 ≥ – 9. x + 3 ≥ – 9 Solving Inequalities by Addition & Subtraction

Example 3: Solve x + 3 ≥ – 9. x + 3 ≥ – 9 – 3 – 3 x ≥ – 12 Solving Inequalities by Addition & Subtraction

Example 3: Solve x + 3 ≥ – 9. x + 3 ≥ – 9 – 3 – 3 x ≥ – Solving Inequalities by Addition & Subtraction

Example 4: Solve 12 + m ≤ m ≤ 4 Solving Inequalities by Addition & Subtraction

Example 4: Solve 12 + m ≤ m ≤ 4 – 12 – 12 m ≤ – 8 Solving Inequalities by Addition & Subtraction

Example 4: Solve 12 + m ≤ m ≤ 4 – 12 – 12 m ≤ – Solving Inequalities by Addition & Subtraction

Independent Practice: Write an inequality and graph. 1. Two more than a number is less than eleven 2. Five less than a number is at least – 2 3. The difference between a number and ten is greater than 9 4. Four less than a number is less than The sum of a number and seven is more than 1 Solving Inequalities by Addition & Subtraction

Independent Practice: Answers. 1. n < n ≥ n > n < n > – Solving Inequalities by Addition & Subtraction

Independent Practice: Solve each equation below. 1. y + 8 ≤ d + 11 > a ≥ – < 1 + k 5. h – 3 ≤ – 3 Solving Inequalities by Addition & Subtraction

Independent Practice: Answers. 1. y + 8 ≤ d + 11 > a ≥ – < 1 + k h – 3 ≤ – Solving Inequalities by Addition & Subtraction

HOMEWORK Solving Inequalities by Addition & Subtraction