Unit 1: Linear Equations & Inequalities – The Poetry and prose of algebra

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# Unit 1: Linear Equations & Inequalities – The Poetry and prose of algebra - PowerPoint PPT Presentation

Unit 1: Linear Equations &amp; Inequalities – The Poetry and prose of algebra. SEC 4: Compound Inequalities. Review: Quality Core Question. Ex 1: Quality Core Question . Compound Inequality. Consist of a pair of inequalities joined by and or or . Examples:

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### Unit 1: Linear Equations & Inequalities – The Poetry and prose of algebra

SEC 4: Compound Inequalities

Compound Inequality
• Consist of a pair of inequalities joined by and or or.
• Examples:
• -1 < x and x < 3, or could be wrote as -1< x < 3
• x < -1 or x > 3
Ex 2: Compound Inequality Containing And
• Graph and Check the solution of
• 3x – 1 > -28 and 2x + 7 < 19
• Graph and Check the solution of
• -5 ≤ 2x – 1 < 3
Ex 3: Compound Inequality containing Or
• Graph and Check the solution of
• 4x – 2 > 14 or 3x – 4 < - 13
• Graph and Check the solution of
• 3x + 9 < - 3 or -2x + 1 < 5
Ex 4: Dirty Jobs
• Between 15,000 yd3 and 16,000 yd3 of earth must be trucked away from a construction site. The trucks can remove 1000 yd3 per day, and 10,500 yd3 has already been removed. How many days are needed?
HOMEWORK
• Pg45 #12-21 solve, graph and check

Answers: on Pg 57B in textbook