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23 Solving Inequalities by Multiplying or Div. Solve each ... · 2.2 and 2.3 Notes Alg1.notebook...
Transcript of 23 Solving Inequalities by Multiplying or Div. Solve each ... · 2.2 and 2.3 Notes Alg1.notebook...
2.2 and 2.3 Notes Alg1.notebook October 02, 2012
22 Solving Inequalities by Adding or Subtract.
23 Solving Inequalities by Multiplying or Div.
7) –3a = 30
3) x ≥ –10 4) x < –3
Graph each inequality & write an inequality for each situation. 1) The temperature must be at least –10°F. 2) The temperature must be no more than 90°F.
Solve each equation.
5) x – 4 = 10 6) 15 = x + 1.1
8) 9)
*seats prove yourself
7) –3a = 30
3) x ≥ –10 4) x < –3
Graph each inequality & write an inequality for each situation.
1) The temperature must be at least –10°F.
2) The temperature must be no more than 90°F.
Solve each equation.
5) x – 4 = 10 6) 15 = x + 1.1
8) 9)
Warmup Answers
2.2 and 2.3 Notes Alg1.notebook October 02, 2012
22 Solving Inequalities by Adding or Subtract.
23 Solving Inequalities by Multiplying or Div.
Solve onestep inequalities by using addition, subtraction, multiplication, and division
To determine the range of answers that satisfy certain conditions
I. Solving inequalities with Add/Subtraction
x + 8 < 12
2.2 and 2.3 Notes Alg1.notebook October 02, 2012
1) x + 12 < 20 2) d – 5 > –7
3) 0.9 ≥ n – 0.3 4)
I. Solving inequalities with Add/Subtractionand graph the solution
Since there can be an infinite number of solutions to an inequality, it is not possible to check all the solutions. You can check the endpoint and the direction of the inequality symbol.
The solutions of x + 9 < 15 are given by x < 6.
II. How to check your solution to an inequality
5) Solve and check n 3.5 < 7.5
2.2 and 2.3 Notes Alg1.notebook October 02, 2012
Sami has a gift card. She has already used $14 of the total value, which was $30. Write, solve, and graph an inequality to show how much more she can spend.
5.
The answer will be an inequality and a graph that show all the possible amounts of money that Sami can spend.
List important information: • Sami can spend up to, or at most $30. • Sami has already spent $14.
Write an inequality.Let g represent the remaining amount of money Sami can spend.
g + 14 ≤ 30
So she can spend...
Sami can spend from $0 to $16.
Solve the inequality and graph the solutions.
2) 1) 7x > –42
3) 4) 4k > 24
23 Solving Inequalities by Multiplying or Div.
2.2 and 2.3 Notes Alg1.notebook October 02, 2012
6 > 3
II. Multiplying or Dividing by a Negative Number
Solve the inequality and graph the solutions.
5) –12x > 84
Let's check our answer...
6)
2.2 and 2.3 Notes Alg1.notebook October 02, 2012
III. Application Jill has a $20 gift card to an art supply store where 4 oz tubes of paint are $4.30 each after tax. What are the possible numbers of tubes that Jill can buy?
9)
Write an inequality to represent this situation. Let p represent the number of tubes of paint that Jill can buy .
10) A pitcher holds 128 ounces of juice. What are the possible numbers of 10ounce servings that one pitcher can fill?
2.2 and 2.3 Notes Alg1.notebook October 02, 2012
2.2 page 109 #1 6, 10, 13 15, 19, 26 29, 36 40
*20
2.3 page 115 #1, 3, 5, 6, 9 13, 17, 19, 25, 27, 33, 42, 47, 48,
51 61, 63, 67 69, 71, 72*34