6 2solving Inequalities

6 2solving Inequalities

• 1.
  Solving Multi-step InequalitiesCh 6 lesson 2
• 2.
  Review Solve form
• 3.
   
• 4.
  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.
• 5.
  Back to UnitThree, But with an Inequality This should look similar to your first equation. The greater than sign replaces the equal sign.
• 6.
  Work the algebraproblem 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.
• 7.
  Fun with graphingWe can use a number line to show all the numbers that work for m . -6 -4 -2 0 +2 +4 +6
• 8.
  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
• 9.
  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
• 10.
  Work the multi-stepalgebra problem just like you would with the = sign, then graph. -10 This isn't right!
• 11.
  Another twist toalgebra -10 Whenever you multiply or divide BY A NEGATIVE NUMBER you must flip the inequality. Major Point!
• 12.
  Let’s check ourwork -10 Pick an number from the graphed answer set to see if this works. +10
• 13.
  Try one. Solvefor x and graph the inequality. c + 7 < -11
• 14.
  Solution c +7 – 7 < -11 – 7 c + 0 < -18 -18
• 15.
  Greater than orequal to has a closed circle. Graph -3
• 16.
  Check your work.Could 10 be a solution for x? -3 Ten is part of the graphed solution +10
• 17.
  Summary Solving inequalitiesis 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 .
• 18.
  Assignment: pg. 280:15 – 29; 36-37; 43, 45