Unit 4 - Inequalities

Outcomes:Represent the solution sets to inequalities in the following formats:

GraphicallySymbolicallyWith Words

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

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

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”

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

All real numbers higher than -2.5 and less than or equal to 3Symbols:

Graphically:

Written:

Symbols:{ x | -10 ≤ x < 8, x ε R }

Graphically:

Written:

Symbols:

Graphically:

Written:

Situation: