Important Facts< means ____ than> means ______ than≤ means ____________________________≥ means ___________________________...
Important Facts< means less than> means greater thanUse an open circle for < and > when graphing.Use a closed circle for ≤...
How to solve an inequalityThere is only one difference between an        equation and an inequality          = versus <, >...
Solving inequalities             4 + x < 124 + x < 12 (draw T chart)      4 + x < 12(box in variable) 4 + x < 12      (min...
GraphingWhy a closed circle for ≤ and ≥?If something is on your graph there is a dot or line   on it. So, we use a regular...
Now to graph the solution                              x<81.   Draw a number line. Just need a few numbers on     either s...
Solving inequalities             48 ≥ 8 +m48 ≥ 8+m    (draw T chart, box variable) -8    -8   (subtract 8 both sides)  40 ...
Now to graph the solution                              6≥m1.   Draw a number line. Just need a few numbers on     either s...
6u ≥ 36  u-6 ≥ 36  +6 + 6   u ≥ 4239 40 41 42 43 44
y–1≥5y–1≥5+1 +1   y≥6         3 4 5   6 7   8
Graph an inequality                 x < 12   1) Open circle or closed circle?2) Which direction should the arrow go?      ...
Graph an inequality                42 ≥ m   1) Open circle or closed circle?2) Which direction should the arrow go?       ...
Inequalities 1
Inequalities 1
Inequalities 1
Inequalities 1
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Inequalities 1

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Inequalities 1

  1. 1. Important Facts< means ____ than> means ______ than≤ means ____________________________≥ means ____________________________Use an _____circle for < and > when graphingUse a _______ circle for ≤ and ≥ when graphing
  2. 2. Important Facts< means less than> means greater thanUse an open circle for < and > when graphing.Use a closed circle for ≤ and ≥ when graphing
  3. 3. How to solve an inequalityThere is only one difference between an equation and an inequality = versus <, >, ≤, ≥
  4. 4. Solving inequalities 4 + x < 124 + x < 12 (draw T chart) 4 + x < 12(box in variable) 4 + x < 12 (minus 4 both sides)-4 -4 x<8
  5. 5. GraphingWhy a closed circle for ≤ and ≥?If something is on your graph there is a dot or line on it. So, we use a regular dot or line to include numbers in our answer.Why an open circle for < and>? If something is not on our graph we do not put a dot or line on it. So, if 4 is not part of our answer but 3.9999999999… is we can graph that by putting an open circle to show we do not include 4 but we include numbers really really close to 4.
  6. 6. Now to graph the solution x<81. Draw a number line. Just need a few numbers on either side of the solution number.2. Decide if open circle or closed circle. Place it above the solution number.3. Determine which way your arrow goes by substituting a number in for the variable to make the statement true. Then draw the arrow pointing in that direction.
  7. 7. Solving inequalities 48 ≥ 8 +m48 ≥ 8+m (draw T chart, box variable) -8 -8 (subtract 8 both sides) 40 ≥ m
  8. 8. Now to graph the solution 6≥m1. Draw a number line. Just need a few numbers on either side of the solution number.2. Decide if open circle or closed circle. Place it above the solution number.3. Determine which way your arrow goes by substituting a number in for the variable to make the statement true. Then draw the arrow pointing in that direction.
  9. 9. 6u ≥ 36 u-6 ≥ 36 +6 + 6 u ≥ 4239 40 41 42 43 44
  10. 10. y–1≥5y–1≥5+1 +1 y≥6 3 4 5 6 7 8
  11. 11. Graph an inequality x < 12 1) Open circle or closed circle?2) Which direction should the arrow go? 10 11 12 13 14
  12. 12. Graph an inequality 42 ≥ m 1) Open circle or closed circle?2) Which direction should the arrow go? 40 41 42 43 44

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