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Unit 4 - Inequalities
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Outcomes:Represent the solution sets to inequalities in the following formats:
GraphicallySymbolicallyWith Words
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Recall…Natural Number (N)– start at one, no
decimals 1, 2, 3, 4, 5…
Whole Number (W) – start at zero, no decimals0, 1, 2, 3, 4, 5…
Integers (I) – positive & negative numbers and zero, no decimals…-4, -3, -2, -1, 0, 1, 2, 3, 4…
Real Number (R) – all numbers, including decimals
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Write the possible solutions to the following:1. Whole numbers greater than 4 and
less than 12
2. Integers greater than -3 and less than or equal to 4
3. Real numbers greater than 1 and less than 3
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SymbolsThe symbols that you need to know
for this section are:< less than> greater than ≤ less than or equal to≥ greater than or equal to ε “belongs to”
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All of the integers higher than -3 and less than or equal to 2Symbols:
{ x | -3 < x ≤ 2, x ε I }
Graphically:
Written:All of the values of x, where x is more than -3 and less than or equal to 2, and include numbers from the set of integers
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All real numbers higher than -2.5 and less than or equal to 3Symbols:
Graphically:
Written:
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Symbols:{ x | -10 ≤ x < 8, x ε R }
Graphically:
Written:
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Symbols:
Graphically:
Written:
Situation: