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3.6 Day 1 Solving Inequalities by Adding or Subtracting, p140 Warm Up

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## 3.6 Day 1 Solving Inequalities by Adding or Subtracting, p140 Warm Up

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**3.6 Day 1 Solving Inequalities by Adding or Subtracting,**p140 Warm Up 3 . I 5-12I I–3 –4I 1. 4. AF4.0 Students solve simple linear equations & inequalities over the rational numbers. LO: I will evaluatealgebraic inequalities using addition or subtraction to isolate the variable. Before: One-Step Equations Now: One-Step __________________**Solve and graph the inequality.**–9 -8 –7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 x + 3 > –5 Since 3 is added x, __________ from both sides. –3 –3 x > __ Check: According to the graph –4 _____________ be a solution and –9_____________ be a solution. Substitute–4 for x. Substitute –9 for x. ? ? –4+ 3 > –5 –9+ 3 > –5 So, ___ is a solution. So –9 is ___ a solution.**–1 0 1 2 3 4 5 6 7 8 9**10 11 12 13 –9 -8 –7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 –7 -6 –5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Solve and graph the inequality. m –4 ≥ –2 Since 4 is subtracted from m, _________ to both sides. m ≥ __ Since 3 is added to r, ____________ from both sides. r +3 ≤ –3 r ≤ __ 34 14 5 > n + 1 Since 1¼ is added to n, __________ from both sides. 3.6 Day 1- RM & SR p143 #33-40even**Warm Up- Evaluate.**3. 4. 1. While training for a race, Ann’s goal is to run at least 3.5 miles each day. She has already run 1.8 miles today. Write and solve an inequality to find out how many more miles she must run today. Let m = the number of additional miles. 1.8 miles plus additional miles is at least3.5 miles. 1.8+m___ 3.5 m ___ ___ Ann should run at least ____ more miles.**Tip for graphing inequalities:**IF x isn’t FIRST, then REVERSE! Solve and graph each inequality. 1. – 3 <g –7 2. 5 + s≥ 4 3. x– 5.1 > – 5.1 4.x + 4 > –2 13 23 6. c +6 ≤ –1 5. 3 > n + 1**7. Tasha is folding letters for a fundraiser. She knows**there are at least 300 letters, and she has already folded 125 of them. Write and solve an inequality to show how many more letters she must fold. 8. 9. 10. Reasoning: When a number is added to -15, the result is greater than -12. What are the possible values of the number? Graph the solution set on a number line.**While saving money for college, Ann’s goal is to save at**least $360 each month. She has already deposited $128.50 into her savings account this month. Write, solve, and graph an inequality to find out how much more money she must save this month. You can use set-builder notation to write the solution of an inequality. { x :x < 5 } means the set of all real numbers x is less than 5. Evaluate, graph, and use builder’s notation. x – 4 > -16 Day 2- 3.6 p142 #2, 4, 6, 10, 12, 14 Evaluate, show your work, & GRAPH!