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5.3 – Solving Multi-Step Inequalities

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## 5.3 – Solving Multi-Step Inequalities

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***Just like solving equations***Example 1***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x >***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1 0***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1 1 0***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1 1 0***Just like solving equations***Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1 1 0**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m <**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m <**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m >**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m<4 -8 -8 m>**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m > -½**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m > -½**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m > -½ 0**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m > -½ 0 -1½ -1 -½**Example 2 – Solve –m < -m + 4 and graph.**9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m > -½ 0 -1½ -1 -½**Example 3 – Define a variable and write an inequality for**each problem. Then solve.**Example 3 – Define a variable and write an inequality for**each problem. Then solve. The product of –4 and a number is at least 35.**Example 3 – Define a variable and write an inequality for**each problem. Then solve. The product of –4 and a number is at least 35.**Example 3 – Define a variable and write an inequality for**each problem. Then solve. The product of –4 and a number is at least 35. -4x**Example 3 – Define a variable and write an inequality for**each problem. Then solve. The product of –4 and a number is at least 35. -4x**Example 3 – Define a variable and write an inequality for**each problem. Then solve. The product of –4 and a number is at least 35. -4x>**Example 3 – Define a variable and write an inequality for**each problem. Then solve. The product of –4 and a number is at least 35. -4x>**Example 3 – Define a variable and write an inequality for**each problem. Then solve. The product of –4 and a number is at least 35. -4x>35**Example 3 – Define a variable and write an inequality for**each problem. Then solve. The product of –4 and a number is at least 35. -4x>35 -4 -4**Example 3 – Define a variable and write an inequality for**each problem. Then solve. The product of –4 and a number is at least 35. -4x>35 -4 -4 x<