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# 6 2solving Inequalities

## on Sep 18, 2008

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## 6 2solving InequalitiesPresentation Transcript

• Solving Multi-step Inequalities Ch 6 lesson 2
• Review
• Solve for m
•
• What’s the Deal?
• In today’s lesson we will solve multi-step inequalities and graph them using a number line.
• These will be similar to the multi-step equations that we worked through n Unit Three.
• Back to Unit Three, But with an Inequality This should look similar to your first equation. The greater than sign replaces the equal sign.
• Work the algebra problem just like you would with the = sign
• Divide negative 1 from both sides
• The answer shows that any number greater than 9 will make a true statement.
• Fun with graphing
• We can use a number line to show all the numbers that work for m .
-6 -4 -2 0 +2 +4 +6
• Graph x >9
• Put an open circle on 5.85
• Fill in everything to greater than 5.85.
-6 -4 -2 0 +2 +4 +6
• OR Graph x >9
• You only need to mark 9
• Put an open circle on 9
• Fill in everything to greater than 9.
9
• Work the multi-step algebra problem just like you would with the = sign, then graph. -10 This isn't right!
• Another twist to algebra -10 Whenever you multiply or divide BY A NEGATIVE NUMBER you must flip the inequality. Major Point!
• Let’s check our work -10 Pick an number from the graphed answer set to see if this works. +10
• Try one. Solve for x and graph the inequality.
• c + 7 < -11
• Solution
• c + 7 – 7 < -11 – 7 c + 0 < -18
• -18
• Greater than or equal to has a closed circle.
• Graph
-3