Inequalities Objective: To solve and graph all types of inequalities.

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Presentation transcript:

Inequalities Objective: To solve and graph all types of inequalities.

Inequalities and Their Graphs What inequality represents the verbal expression? All real numbers x less than or equal to less than a number k is greater than 13.

Inequalities and Their Graphs What inequality represents the verbal expression? All real numbers x less than or equal to -7. _______|_____|_____ 6 less than a number k is greater than 13.

Inequalities and Their Graphs What inequality represents the verbal expression? All real numbers x less than or equal to -7. _______|_____|_____ 6 less than a number k is greater than 13. ____|_______|_________

Inequalities and Their Graphs Are the following a solution of ? -3 -1

Inequalities and Their Graphs Are the following a solution of ? -3 -1

Inequalities and Their Graphs Are the following a solution of ? -3 -1

Inequalities and Their Graphs Are the following a solution of ? no yes

Graphs What inequality represents the graph? ______|__________|_______ ______|__________|________

Graphs What inequality represents the graph? ______|__________|_______ ______|__________|________

Homework Page odd

Addition/Subtraction What are the solutions of ? Graph.

Addition/Subtraction What are the solutions of ? Graph. Add 15 to both sides. ____|________|_____________

Addition/Subtraction What are the solutions of ? Graph.

Addition/Subtraction What are the solutions of ? Graph. Subtract 6 from both sides. ____________|_______|______

Class Work Page even

Homework Pages odd odd

Multiplication/Division What are the solutions of ? Graph.

Multiplication/Division What are the solutions of ? Graph. Multiply each side by 3 ________|__________|________

Multiplication/Division Everything in the last problem was the same as an equation. With an inequality, the only difference is that when you multiply or divide by a negative number you switch the inequality sign.

Multiplication/Division Everything in the last problem was the same as an equation. With an inequality, the only difference is that when you multiply or divide by a negative number you switch the inequality sign.

Multiplication/Division Everything in the last problem was the same as an equation. With an inequality, the only difference is that when you multiply or divide by a negative number you switch the inequality sign.

Multiplication/Division Everything in the last problem was the same as an equation. With an inequality, the only difference is that when you multiply or divide by a negative number you switch the inequality sign.

Multiplication/Division What are the solutions of ? Graph.

Multiplication/Division What are the solutions of ? Graph. Divide each side by -9. Switch the inequality sign!! _______|_______|________

Class Work Page even

Homework Page odd

Class Work Page even

Homework Page odd