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Unit 7: Two-Step Equations and Inequalities

Unit 7: Two-Step Equations and Inequalities. Lesson 2: One-Step Inequalities. Cornell Notes Header. Vocabulary. inequality – A statement that two quantities are not equal. The quantities are compared using > , < , ≤ , ≥ , & ≠ .

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Unit 7: Two-Step Equations and Inequalities

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  1. Unit 7: Two-Step Equations and Inequalities Lesson 2: One-Step Inequalities

  2. Cornell Notes Header

  3. Vocabulary • inequality – A statement that two quantities are not equal. The quantities are compared using >, <, ≤, ≥, & ≠. • solution of an inequality – Any value of the variable that makes the statement true. Inequalities can have more than one solution.

  4. Group Word Problem • Melissa made $35 dollars babysitting two children for seven hours. She needs at least $199 for a new IPOD. At a minimum, how much more money does Melissa need to buy the IPOD? Write and solve a one-step inequality. • n + 35 ≥ 199 where n = money still needed

  5. Solving & Graphing One-Step Inequalities - 35 - 35 n ≥ 164

  6. Solving and Graphing One-Step Inequalities Example • w ≤ 4

  7. Solving and Graphing One-Step Inequalities Example • 4 ≤ n – 3 + 3 + 3Undo the subtraction with addition. 7 ≤ n which is n ≥ 7

  8. Solving and Graphing One-Step Inequalities Example • x/6> 2 6 · x/6> 2 · 6 Undo the division with multiplication. x > 12

  9. Solving and Graphing One-Step Inequalities Example • 5p ≤ 45 5p≤ 45Undo the multiplication with division. 5 5 p ≤ 9

  10. Inequality Key Words For Solving Word Problems

  11. Summary • Summarize your notes in one to two sentences using the words one-step inequality, open circle, closed circle, and graphing.

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