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# Module 8

### Compound Inequalities

When solving exercises with inequalities, what are the three forms that a solution set can be expressed? 1. Symbolic 2. Graphical 3. Interval Notation
x ≤ 4 is an example of... ...a Symbolic Solution
(-∞,4] is an example of... ...an Interval Notation
Solve the inequality: 2x + 3 ≤ 11 2x + 3 ≤ 11 ........-3....-3 2x ≤ 8
How many solutions does 2x ≤ 8 have? Infinite
The solution of: -4m>-20 equals... m<5
The solution set of a compound inequality formed by the word "and" is the... ...intersection of the solution sets of the two inequalities
Intersection of Two Sets The set of all elements common to both sets
Solve: x-7<2 and 2x+1<9 x-7<2 and 2x+1<9 ..+7+7............-1..-1 x<9 and 2x<8 x<9 and x<4
Find solution set of: x<9 and x<4 (-∞,4)
The solution set of a compound inequality formed by the word "or" is... ...the union of the solution sets of the two inequalities
The union of two sets... is the set of elements that belong to either (one, or the other, or both) of the sets
Notation a ≥ b means that a is greater than or equal to b (or, equivalently, not less than b)
The notation a ≤ b means that a is less than or equal to b (or, equivalently, not greater than b)
The notation a < b means that a is less than b.
The notation a > b means that a is greater than b
Solve 5x-3≤10 or x+1≥5 5x-3≤10 or x+1≥5 .....+3 +3........-1-1 5x≤13 x≥4 /5 /5 x≤13/5 x≥4
Find the solution set for x≤13/5 x≥4 Write in Interval Notation Solution Set: (-∞13/5]U[4,∞)
If all real numbers, solution set is what? Solution Set: (-∞,∞)
Created by: 566815883