2-step%20inequalities - PowerPoint PPT Presentation

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2-step%20inequalities

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2-step inequalities Earlier in the year, we learned how to solve inequalities. Remember what the open circle And closed circle represent? 2-step inequalities Earlier ... – PowerPoint PPT presentation

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Title: 2-step%20inequalities


1
2-step inequalities
  • Earlier in the year, we learned how to solve
    inequalities.
  • Remember what the open circle
  • And closed circle represent?

2
2-step inequalities
  • Earlier in the year, we learned how to solve
    inequalities.
  • Remember what the open circle
  • And closed circle represent?
  • Open circle represents lt or gt and
  • Closed circle represents lt or gt

3
2-step inequalities
  • We also learned that if an inequality was greater
    than we highlighted the right (or greater) side
    of the number line
  • If the inequality was less than we highlighted
    the left (or less) side of the number line

4
2-step inequalities
  • When we solve 2-step inequalities, we solve just
    as if the problem had an equals sign.
  • For example consider the problem
  • 2y 3 lt -5

5
Example
  • 2y 3 lt -5
  • 3 3 add 3 to both sides
  • 2y lt -2
  • 2 2 divide both sides by 2
  • y lt -1
  • graph
  • -3 -2 -1 0 1 2 3

6
Another example
  • Dont forget if you multiply or divide by a
    negative number, you must reverse the inequality
    sign.
  • -9 gt x 6
  • -3
  • -9 gt x 6
  • -6 -3 -6 subtract 6
  • (-3)-15 gt x (-3)
  • -3 multiply by -3
  • 45 lt x x gt 45

7
Try These
  • 5a 9 gt 11
  • 17 .5 c lt14
  • 6 x gt 3
  • 8.3 lt -0.5b 2.7
  • 4x 5 21
  • -14 -2p 7
  • 11 8c 9c

8
Answers
  • 5a 9 gt 11 a gt 4
  • 17 .5 c lt14 c lt -6
  • 6 x gt 3 x lt 3
  • 8.3 lt -0.5b 2.7 b lt -22
  • 4x 5 21 x 4
  • -14 -2p 7 p 10.5
  • 11 8c 9c c 11

9
2-Step Inequalities Worksheet
  • Complete the two step inequalities worksheet.
  • Show all work and graph your answers on the given
    number lines.
  • REMEMBER Open versus Closed Circles!
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