Warm Up 10/29/18 Write an equation in slope-intercept form which passes through (5, 4) and is parallel to y + 8 = -3(x - 4).

Solving Inequalities by Addition and Subtraction Ch. 5-1 Solving Inequalities by Addition and Subtraction

Inequalities < less than ≥ greater than or equal to ≤ less than or equal to

𝑥>3 𝑥≤10 10<𝑥 −5≥𝑥

ӿ Practice Solve x – 12 ≥ 8. Check your solution. +12 +12 +12 +12

YOU TRY! CHECK YOUR WORK! 2) Solve m + 19 > 56.

YOU TRY! CHECK YOUR WORK! 2) Solve m + 19 > 56.

When graphing inequalities on a number line. ≤𝑎𝑛𝑑 ≥𝑚𝑒𝑎𝑛𝑠 𝑡𝑜 𝑔𝑟𝑎𝑝ℎ 𝑎 𝑐𝑙𝑜𝑠𝑒𝑑 𝑐𝑖𝑟𝑐𝑙𝑒. Ex: 𝑥≥3 <𝑎𝑛𝑑>𝑚𝑒𝑎𝑛𝑠 𝑡𝑜 𝑔𝑟𝑎𝑝ℎ 𝑎 𝑜𝑝𝑒𝑛 𝑐𝑖𝑟𝑐𝑙𝑒. EX: x<3

Ex: 𝑥≤1

Ex: 1<𝑥

Ex: 𝑥≥5 Ex: x<−1 Ex: 3≥𝑥

Ex:𝑥≤−4 Ex: −1<𝑥 Ex: 𝑥≥3

ӿ Practice 3) Solve 4a≥𝟑𝒂+𝟔. Then graph the solution -3a -3a set on a number line.

ӿ Classwork – p.288 #1-8; 12-29 34. Keisha is babysitting at $8 per hour to earn money for a car. So far she has saved $1300. The car that Keisha wants to buy costs at least $5440. How much money does Keisha still need to earn to buy the car?

Warm Up 10/30/18 1. Felipe needs for the temperature of his leopard gecko’s baking spot to be at least 82 degrees. Currently the baking spot is 62.5 degrees. How much warmer does the baking spot need to be? 2. Solve the inequality equation, and graph. 12>13+𝑥

Solving Inequalities by Multiplication and Division Ch. 5-2 Solving Inequalities by Multiplication and Division

Solving Inequalities by Multiplying 4 > 2 4(3) > 2(3) 12 > 6 4 > 2 4(3) > 2(3) 12 > 6 If you multiply each side of an inequality by a positive number then the inequality remains true. 7 < 9 7(-2) < 9(-2) -14 < -18 -14 > -18 If you multiply each side of an inequality by a negative number, the inequality symbol changes direction.

ӿ Practice Solve − 𝟑 𝟕 𝒓<𝟐𝟏 Graph the solution set on a number line

Solving Inequalities by Dividing −25 < −20 −25 5 < −20 5 −25 < −20 −25 5 < −20 5 -5 < -4 If you divide each side of an inequality by a positive number then the inequality remains true. 15 < 18 15 −3 < 18 −3 -5 < -6 -5 > -6 If you divide each side of an inequality by a negative number, the inequality symbol changes direction.

ӿ Practice Solve 8𝒕>𝟏𝟔 Graph the solution set on a number line

ӿ Practice Solve −𝟑𝒅>𝟏𝟓 Graph the solution set on a number line

Classwork solve, and graph each problem. 1.− 1 2 𝑎<20 2. −11> 1 11 𝑐 3. − 3 4 𝑗≥12 4. −6𝑣>−72 5. 32>−2𝑦 6. −2𝑑≤5

Warm Up 11/1/18 Solve and Graph 32≻−2𝑦 2. Solve for x. 1 5 5𝑥−25 =−7 1 5 5𝑥−25 =−7 3. Solve for x. 2𝑥+13 3 =5

Solving Multi-Step Inequalities Ch. 5-3 Solving Multi-Step Inequalities

ӿ Practice Solve −𝟏𝟏𝒚−𝟏𝟑>𝟒𝟐. Graph the solution set on a number line +13 +13 -11y > 55

ӿ Practice Solve −𝟏𝟏𝒚−𝟏𝟑>𝟒𝟐. Graph the solution set on a number line +13 +13 -11y > 55

ӿ Practice Solve 4 𝟑𝒕−𝟓 +𝟕≥𝟖𝒕+𝟑. Graph the solution set on a number line 𝟏𝟐𝒕−𝟐𝟎+𝟕≥𝟖𝒕+𝟑 𝟏𝟐𝒕−𝟏𝟑≥𝟖𝒕+𝟑 +𝟏𝟑≥ +𝟏𝟑 𝟏𝟐𝒕 ≥𝟖𝒕+𝟏𝟔 −𝟖𝒕 ≥−𝟖𝒕 𝟒𝒕 ≥𝟏𝟔 4 4 𝒕 ≥𝟒

ӿ Practice Solve 𝒘 𝟖 −𝟏𝟑>−𝟔. Graph the solution set on a number line

Warm Up Solve for x. Simplify Simplify 11/5/18 Solve for x. Simplify Simplify 1. 𝟑 𝟏𝟓 𝒙−𝟕=𝟓 2. 𝟐𝒙+𝟑 −𝟒 =𝟓 3. 𝟐 𝟒 − 𝟒 𝟓

Solving Multi-Step Inequalities Cont. Ch. 5-3 Solving Multi-Step Inequalities Cont.

ӿ Practice Solve 𝟗𝒕−𝟓(𝒕−𝟓)≤𝟒(𝒕−𝟑) False Statement so therefore solution set is empty

ӿ Practice Solve 𝟑 𝟒𝒎+𝟔 ≤𝟒𝟐+𝟔(𝟐𝒎−𝟒) True Statement so therefore solution is all real numbers

Solving Compound Inequalities Ch. 5-4 Solving Compound Inequalities

Two inequalities (or more) joined together with “and” or “or” apart

together