 R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3  Two inequalities joined by the word “and” or the word “or”.

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Presentation transcript:

 R + 3 > 4M + 6 < 10  T – 4 < 9Y – 11 ≤ 3

 Two inequalities joined by the word “and” or the word “or”.

 X ≥ -5 and X ≤ 7

 Two inequalities joined by the word “and” or the word “or”.  X ≥ -5 and X ≤ 7  Graph the two inequalities.

 Two inequalities joined by the word “and” or the word “or”.  X ≥ -5 and X ≤ 7  Graph the two inequalities.

 Two inequalities joined by the word “and” or the word “or”.  X ≥ -5 and X ≤ 7  Graph the two inequalities.  When the two inequalities go towards each other, they form an inclusive area.

 Graph the compound inequalities:  X ≥ 3 and X ≤ 10

 Graph the compound inequalities:  X ≥ 3 and X ≤ 10 0

 Graph the compound inequalities:  X ≥ 3 and X ≤ 10 0

 Graph the compound inequalities:  n > -2 and n < 4

 Graph the compound inequalities:  n > -2 and n < 4 0

 Graph the compound inequalities:  n > -2 and n < 4 0

 Write a compound inequality for all real numbers that are at least -4 and at most 7.

 Write a compound inequality. Today’s temperatures will be above 53 F, and less than 78 F.

 When you have two inequalities containing “and” they are inclusive.

 Inclusive inequalities can be represented as this:

 When you have two inequalities containing “and” they are inclusive.  Inclusive inequalities can be represented as this:  Lowest number < variable < largest number

 When you have two inequalities containing “and” they are inclusive.  Inclusive inequalities can be represented as this:  Lowest number < variable < largest number  The inequality can change, but is open to the right.

 When you have two inequalities containing “and” they are inclusive.  Inclusive inequalities can be represented as this:  Lowest number < variable < largest number  The inequality can change, but is open to the right.  X 1

 When you have two inequalities containing “and” they are inclusive.  Inclusive inequalities can be represented as this:  Lowest number < variable < largest number  The inequality can change, but is open to the right.  X 1  Write as: 1 < X < 3

 Graph the compound inequality.  X ≤ 1 or X ≥ 5 0

 Graph the compound inequality.  X ≤ 1 or X ≥ 5 0

 Graph the compound inequality.  X ≤ 1 or X ≥ 5  When two inequalities go away from each other they form an exclusive area. 0

 Graph the compound inequality.  X ≤ 12 or X ≥ 60 0

 Graph the compound inequality.  X 7 0

 When two inequalities use the word “or” they form an exclusive area.

 Inequalities that form an exclusive area can be represented as:

 When two inequalities use the word “or” they form an exclusive area.  Inequalities that form an exclusive area can be represented as:  Lowest number > variable > Largest number

 When two inequalities use the word “or” they form an exclusive area.  Inequalities that form an exclusive area can be represented as:  Lowest number > variable > Largest number  The inequality can change, but it is open to the left.

 When two inequalities use the word “or” they form an exclusive area.  Inequalities that form an exclusive area can be represented as:  Lowest number > variable > Largest number  The inequality can change, but it is open to the left.  X 7

 When two inequalities use the word “or” they form an exclusive area.  Inequalities that form an exclusive area can be represented as:  Lowest number > variable > Largest number  The inequality can change, but it is open to the left.  X 7  Write as: -3 > X > 7

 If we have compound equations, treat them as two separate equations:

 -4 < r – 5 ≤ -1

 If we have compound equations, treat them as two separate equations:  -4 < r – 5 ≤ -1  Treat this as:  -4 < r – 5 and r – 5 ≤ -1

 If we have compound equations, treat them as two separate equations:  -4 < r – 5 ≤ -1  Treat this as:  -4 < r – 5 and r – 5 ≤ -1  Now solve each.

 -3 < j + 2 < 7

 2 < 3n – 4 ≤ 14

 Page 230  Numbers 8, 18, 28 Due before you leave.