5 Minute Check Write an inequality for each sentence. 1. The roller coaster ride is less than 3 minutes. 2. A passing grade on the quiz was 8 or more points. 3. The soccer team wants to score more than 5 goals in this game. 4. Less than 16 students completed the fitness course on their first attempt.

5 Minute Check Write an inequality for each sentence. 1. The roller coaster ride is less than 3 minutes.

5 Minute Check Write an inequality for each sentence. 1. The roller coaster ride is less than 3 minutes. r < 3; r represents time

5 Minute Check Write an inequality for each sentence. 2. A passing grade on the quiz was 8 or more points.

5 Minute Check Write an inequality for each sentence. 2. A passing grade on the quiz was 8 or more points. p > 8; p represents points

5 Minute Check Write an inequality for each sentence. 3. The soccer team wants to score more than 5 goals in this game.

5 Minute Check Write an inequality for each sentence. 3. The soccer team wants to score more than 5 goals in this game. g > 5; g represents goals

5 Minute Check Write an inequality for each sentence. 4. Less than 16 students completed the fitness course on their first attempt.

5 Minute Check Write an inequality for each sentence. 4. Less than 16 students completed the fitness course on their first attempt. s < 16; s represents students

OST Test Prep Two-fifths of the girls in a school signed up to play softball. An equal number of girls signed up to play pitcher, infield and outfield. What fraction of girls in the school signed up to play outfield?

OST Test Prep Two-fifths of the girls in a school signed up to play softball. An equal number of girls signed up to play pitcher, infield and outfield. What fraction of girls in the school signed up to play outfield? x + x + x = 𝟐 𝟓 3x = 𝟐 𝟓 x · 3 = 𝟐 𝟓

OST Test Prep Two-fifths of the girls in a school signed up to play softball. An equal number of girls signed up to play pitcher, infield and outfield. What fraction of girls in the school signed up to play outfield? x · 3 = 𝟐 𝟓 This can also be written in reverse as: 𝟐 𝟓 ÷ 3 = x

OST Test Prep Two-fifths of the girls in a school signed up to play softball. An equal number of girls signed up to play pitcher, infield and outfield. What fraction of girls in the school signed up to play outfield? 𝟐 𝟓 ÷ 3 = x 𝟐 𝟓 · 𝟏 𝟑 = 𝟐 𝟏𝟓 𝟐 𝟏𝟓 signed up for outfield

Lesson 8.6.b Graphing Inequalities Wednesday, Feb 22 Lesson 8.6.b Graphing Inequalities

Write and Graph Inequalities Objective: To graph inequalities on a number line.

Write and Graph Inequalities What are the possible solutions for the following inequality? a > 3

Write and Graph Inequalities What are the possible solutions for the following inequality? a > 3 (3, 4, 5, 6, 7, 8…….)

Write and Graph Inequalities What are the possible solutions for the following inequality? a > 3 (3, 3.5, 4, 4.5, 5, 5.5, 6…….)

Write and Graph Inequalities What are the possible solutions for the following inequality? a > 3 (3, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6…….)

Write and Graph Inequalities What are the possible solutions for the following inequality? a > 3 (3, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6…….) How many possible solutions are there?

Write and Graph Inequalities We can use a number line to show all possible solutions. a > 3

Write and Graph Inequalities Graph the inequality on a number line. a > 3 Graphing Inequalities Step 1 – Place a dot on the number line that represents the number in the inequality.

Write and Graph Inequalities Graph the inequality on a number line. a > 3 Graphing Inequalities Step 1 – Place a dot on the number line that represents the number in the inequality.

Write and Graph Inequalities Graph the inequality on a number line. a > 3 Graphing Inequalities Step 2 – Determine if the possible solutions are to the right or left of the dot.

Write and Graph Inequalities Graph the inequality on a number line. a > 3 Graphing Inequalities Step 2 – Determine if the possible solutions are to the right or left of the dot. Is 2 > 3?

Write and Graph Inequalities Graph the inequality on a number line. a > 3 Graphing Inequalities Step 2 – Determine if the possible solutions are to the right or left of the dot. Is 4 > 3?

Write and Graph Inequalities Graph the inequality on a number line. a > 3 Graphing Inequalities Step 3 – Draw an arrow from the dot in the direction of the solution.

Write and Graph Inequalities Graph the inequality on a number line. a > 3 Graphing Inequalities Step 3 – Draw an arrow from the dot in the direction of the solution.

Write and Graph Inequalities Graph the inequality on a number line. a > 3 The graph shows all possible solutions to the inequality.

Write and Graph Inequalities Graph the inequality on a number line. x > 14 Step 1 - ?

Write and Graph Inequalities Graph the inequality on a number line. x > 14 An open dot means the point is not a solution.

Write and Graph Inequalities x > 14 > means greater than – open dot < means less than – open dot > means greater than or equal to – closed dot < means less than or equal to – closed dot

Write and Graph Inequalities Graph the inequality on a number line. x > 14 Step 2 - ?

Write and Graph Inequalities Graph the inequality on a number line. x > 14 Step 3 - ? Which is a solution?

Write and Graph Inequalities Graph the inequality on a number line. x > 14 The open dot means that all numbers greater than 14 is a solution. 14.1 14.01 14.00000000000000000000000000000001

Write and Graph Inequalities Graph the inequality on a number line. x < 6

Write and Graph Inequalities Graph the inequality on a number line. x < 6 Remember - An open dot means the number is not solution.

Write and Graph Inequalities Graph the inequality on a number line. x > 15

Write and Graph Inequalities Graph the inequality on a number line. x > 15

Write and Graph Inequalities Graph the inequality on a number line. x < 0

Write and Graph Inequalities Graph the inequality on a number line. x < 0

Write and Graph Inequalities Graph the inequality on a number line. x > -6

Write and Graph Inequalities Graph the inequality on a number line. x > -6

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. You must be 13 years or older to play in the basketball league . Do this on your own.

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. You must be 13 years or older to play in the basketball league . a > 13; a represents your age

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. A pony is less than or equal to 14 hands tall. Do this on your own.

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. A pony is less than or equal to 14 hands tall. p < 14 ; p represents height of the pony

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. You must be less than 11 years old to order off the kid’s menu . Do this on your own.

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. You must be less than 11 years old to order off the kid’s menu . a < 11; a represents your age

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. You must be less than11 years old to order off the kid’s menu . a < 11; a represents your age 11 is not a solution

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. To use one stamp, your domestic letter must weigh under 3.5 ounces. Do this on your own.

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. To use one stamp, your domestic letter must weigh under 3.5 ounces. m < 3.5; m represents weight in ounces

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. To use one stamp, your domestic letter must weigh under 3.5 ounces. m < 3.5; m = weight in ounces Observation – If you have the variable on the left side of the inequality, the arrow will always point the same direction as the inequality sign.

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. You must be eighteen years or older to vote.

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. You must be eighteen years or older to vote. a > 18; a represents age

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. You can spend no more than $15 on a new shirt.

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. You can spend no more than $15 on a new shirt. c < 15; c represents cost of shirt

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. During a certain 24 hour period the temperature was below -4 degrees Fahrenheit.

Write and Graph Inequalities Write an algebraic inequality for the sentence below and then graph. During a certain 24 hour period the temperature was below -4 degrees Fahrenheit. t < -4; t represents temperature

Write and Graph Inequalities Traffic on a residential street can travel at no more than 20 miles per hour. Write and graph an inequality to describe the possible speeds on the street. Do this on your own.

Write and Graph Inequalities Traffic on a residential street can travel at no more than 20 miles per hour. Write and graph an inequality to describe the possible speeds on the street. s < 20; s represents speed

Write and Graph Inequalities The graph shows the number of students who participate in some of the activities offered at WMS. Which activities have more than 20 participants?

Write and Graph Inequalities The graph shows the number of students who participate in some of the activities offered at WMS. Which activities have more than 20 participants? Softball, drama and band

Write and Graph Inequalities The graph shows the number of students who participate in some of the activities offered at WMS. Which activities have 20 or less participants?

Write and Graph Inequalities The graph shows the number of students who participate in some of the activities offered at WMS. Which activities have 20 or less participants? Basketball, Baseball, Orchestra, Tennis

Write and Graph Inequalities The graph shows the number of students who participate in some of the activities offered at WMS. Write an inequality comparing the number of orchestra participants to the number of tennis participants.

Write and Graph Inequalities The graph shows the number of students who participate in some of the activities offered at WMS. Write an inequality comparing the number of orchestra participants to the number of tennis participants. 12 > 6

Write and Graph Inequalities Agenda Notes Skills Practice 8.6.b Due Thursday, Feb 23 Complete p.628-629. If you complete this, read pages 635-638 and complete 638-642. Chapter 8 Test Tuesday, Feb 28 Retakes after school on Thursday