Inequalities Ch. 2.14 EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

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Presentation transcript:

Inequalities Ch. 2.14 EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Bell Work Make sure you have paper ready for notes!! Monday and Tuesday will be new material. Wednesday will be review for unit test. Thursday/Friday will be Test!!! EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Solving Inequalities Solving inequalities follows the same procedures as solving equations. There are a few special things to consider with inequalities: We need to look carefully at the inequality sign. We also need to graph the solution set.

Review of Inequality Signs > greater than < less than greater than or equal less than or equal

How to graph the solutions > Graph any number greater than. . . open circle, line to the right < Graph any number less than. . . open circle, line to the left Graph any number greater than or equal to. . . closed circle, line to the right Graph any number less than or equal to. . . closed circle, line to the left

Solve the inequality: Subtract 4 from each side. x + 4 < 7 -4 -4 x < 3 Subtract 4 from each side. Keep the same inequality sign. Graph the solution. Open circle, line to the left. 3

There is one special case. Sometimes you may have to reverse the direction of the inequality sign!! That only happens when you multiply or divide both sides of the inequality by a negative number.

-3y > 18 Example: Solve: -3y + 5 >23 Subtract 5 from each side. -5 -5 -3y > 18 -3 -3 y < -6 Subtract 5 from each side. Divide each side by negative 3. Reverse the inequality sign. Graph the solution. Open circle, line to the left. -6

Writing an inequality from a sentence EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Writing an inequality from a sentence EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Writing an inequality from a sentence EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Writing an inequality from a sentence EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Writing an inequality from a sentence EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Solving inequalities with a variable on one side What is the solution? Graph it. ¿Cuál es la solución? El gráfico lo EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Solving inequalities with a variable on one side Now you try... What is the solution? Graph it. ¿Cuál es la solución? El gráfico lo EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Solving inequalities with a variable on one side What is the solution? Graph it. ¿Cuál es la solución? El gráfico lo EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Solving inequalities with a variable on one side Now you try… Find the solution and graph it. Ahora tratas de... Encontrar la solución y lo gráfico EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Solving inequalities with a variable on one side Solve and graph the inequality EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Solving inequalities with a variable on one side Now you try… EQ: How can you solve and graph inequalities? I will solve and graph inequalities.

Exit Ticket: Solve 2x+3>x+5 Solve - c - 11>23 Solve 3(r-2)<2r+4

Exit Ticket: A movie rental company offers two subscription plans. You can pay $36 a month and rent as many movies as desired, or you can pay $15 a month and $1.50 to rent each movie. How many movies must you rent in a month for the first plan to cost less than the second plan? EQ: How can you solve and graph inequalities? I will solve and graph inequalities.