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This resource provides comprehensive insights into exploring and solving inequalities, focusing on how to represent them graphically on number lines. It covers various inequality types such as (t > 4), (y leq 8), and provides step-by-step instructions on using open and closed circles. The guide also presents practical problems, such as equity sharing among friends, to illustrate the relevance of inequalities. Gain confidence in graphing solutions and understanding the implications of different inequalities through clear examples and practice exercises.
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Graph the solution of an inequality on a number line for t > 4: 0 1 2 3 4 5 6 7 8 9 10
Graph the solution of an inequality on a number line for t > 4: Use an open circle if the inequality is > or < : 0 1 2 3 4 5 6 7 8 9 10
Graph the solution of an inequality on a number line for t > 4: Shade the direction which includes all possible answers. 0 1 2 3 4 5 6 7 8 9 10
Graph the solution of an inequality on a number line for y ≤ 8: 0 1 2 3 4 5 6 7 8 9 10
Graph the solution of an inequality on a number line for y ≤ 8: Use a closed circle if the inequality is ≥ or ≤: 0 1 2 3 4 5 6 7 8 9 10
Graph the solution of an inequality on a number line for y ≤ 8: Shade the direction which includes all possible answers. 0 1 2 3 4 5 6 7 8 9 10
Solve and Graph each inequality • 3x > 6 • ≤ 12 • x – 5 < 8 • x + 7 ≥ 10
Solve and Graph each inequality • 3x > 6 x > 2 0 1 2 3 4 5 6 7 8 9 • ≤ 12 • x – 5 < 8 • x + 7 ≥ 10
Solve and Graph each inequality • 3x > 6 • ≤ 12 x ≤ 24 18 19 20 21 22 23 24 25 • x – 5 < 8 • x + 7 ≥ 10
Solve and Graph each inequality • 3x > 6 • ≤ 12 • x – 5 < 8 x < 13 9 10 11 12 13 14 15 16 • x + 7 ≥ 10
Solve and Graph each inequality • 3x > 6 • ≤ 12 • x – 5 < 8 • x + 7 ≥ 10 x ≥ 3 0 1 2 3 4 5 6 7 8
Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend.
Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation:
Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation: 6x ≤ 150
Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation: 6x ≤ 150 What operation should you use to isolate the variable?
Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation: 6x ≤ 150 What operation should you use to isolate the variable? Division
Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation: 6x ≤ 150 ≤
Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation: 6x ≤ 150 ≤ x ≤ $25
