6 2solving Inequalities
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6 2solving Inequalities

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6 2solving Inequalities 6 2solving Inequalities Presentation 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
    • Start with the number line
    • 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
    • Start with the number line
    • 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
  • Check your work.
    • Could 10 be a solution for x?
    -3 Ten is part of the graphed solution +10
  • Summary
    • Solving inequalities is similar to solving other algebraic equations.
    • Use open circles for greater than (>) or less than (<).
    • Use closed circles to show less-than-or equal-to and greater-than-or-equal-to .
  • Assignment: pg. 280 :15 – 29; 36-37; 43, 45