Warm Up: Solve and Graph Basic: 9−2𝑥≤30−5𝑥 Proficient: 8+2 3−5𝑥 >−3(2𝑥+6) Advanced: 5 2𝑥−4 3𝑥+1 +4𝑥≥8 6−4𝑥 +2

Warm Up Basic: 𝑥≤7 Proficient: 𝑥<8 Advanced: 𝑥≤−5 7 8 -5

Test Results 2nd Period Average: 89.1% Median: 92.7% 3rd Period Average: 92.8% Median: 95.3% 4th Period Average: 86.6% Median: 91.3%

Chapter 3 INEQUALITIES

Greater Than or Equal To Basics Symbol Name Graphing Shading 𝑦> Greater Than Number Line xy Plane Open Circle Dotted Line Right Above 𝑦< Less Than Left Below 𝑦≥ Greater Than or Equal To Closed Circle Solid Line 𝑦≤ Less Than or Equal To

3.1 Linear Inequalities; Absolute Value Solve like a normal equation EXCEPT flip the symbol when you multiply or divide by a negative.

3.1 Linear Inequalities; Absolute Value

3.1 Linear Inequalities; Absolute Value

3.1 Linear Inequalities; Absolute Value

3.1 Linear Inequalities; Absolute Value

3.1 Linear Inequalities; Absolute Value 𝟑𝒙−𝟓 =𝟕 𝟑𝒙−𝟓=𝟕 and 𝟑𝒙−𝟓=−𝟕 𝟑𝒙−𝟓 <𝟕 −𝟕<𝟑𝒙−𝟓<𝟕 𝟑𝒙−𝟓 >𝟕 𝟑𝒙−𝟓<−𝟕 or 𝟑𝒙−𝟓>𝟕

3.1 Linear Inequalities; Absolute Value or

3.1 Linear Inequalities; Absolute Value

Homework Page 98 #1-29 odds

Equal, Greater or Less Than A jug can hold up to 4 cups of water. How much water is in it?

𝑥≤4 A jug can hold up to 4 cups of water.

Equal, Greater or Less Than John had 10 marbles, but lost some. How many does he have now?

𝑥<10 John had 10 marbles, but lost some. How many does he have now?

Equal, Greater or Less Than You must be at least 13 to watch the movie. How old do you have to be?

𝑥≥13 You must be at least13 to watch the movie. How old do you have to be?

Equal, Greater or Less Than More than 1800 fans attended the game. How many people were at the game?

𝑥>1800 More than 1800 fans attended the game. How many people were at the game?

Equal, Greater or Less Than On the freeway o you must drive . between 40 and 75 mph. How fast can you drive?

40<𝑥<75 On the freeway you must drive between 40 and 75 mph. How fast can you drive?

Equal, Greater or Less Than One-fifth of x plus 10 is at most 2. 1 5 𝑥+10≤2

Equal, Greater or Less Than Fifteen is not greater than 8 subtracted from two-fifths of x. 15≤ 2 5 𝑥−8

Equal, Greater or Less Than The product of x and 7 added to nineteen is at least 42. 7𝑥+19≥42

Equal, Greater or Less Than The sum of y and 14 is no more than 100. 𝑦+14≤100

Equal, Greater or Less Than A number x is both less than 4 and greater than or equal to –2.5. −2.5≤𝑥<4

Equal, Greater or Less Than A number y is either greater than 5 or less than or equal to –1. 𝑦>5 𝑜𝑟 𝑦≤−1