Solving Inequalities

Solving Inequalities

Exploring Inequalities

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

Complete the Table

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

Graphing Inequalities

Solving Inequalities