

Algebra Chapter 9.1-9.3 Review
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Mathematics
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8th - 10th Grade
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Hard
Brenton Ramon Reid
Used 1+ times
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7 Slides • 2 Questions
1
Algebra Chapter 9.1-9.3 Review
Inequalities and Problem Solving

2
Solving Inequalities
Inequalities can be solved graphically
First, look at the graph of the two functions
Second, determine the x-values where one graph lies above the other
3
Solving Inequalities
Since the graph of g(x) is above the graph of f(x) after x=2, the solution of g(x)>f(x) is {x|x>2}
4
Multiple Choice
Solve graphically:
2x−5≥21x+1
x≥5
x≥6
x≥4
x≥1
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Intersections
A conjunction is when two or more sentences are joined by the word and
The solution to a conjunction is the intersection of the solution sets
Or only the elements that both sets share
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Intersections
We first separate the inequality into two separate inequalities
Then, we solve for both inequalities
We can write our answer using set-builder notation or interval notation
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Multiple Choice
Click on the picture to enlarge it.
(−2, −43]
(−4, −47]
(−5, −34]
(−5, −47]
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Unions
A disjunction is when two or more sentences are joined by the word or
The solution set of a disjunction is the union of the solution sets
Or all the elements in both sets
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Unions
We first separate the inequality into two separate inequalities
Then, we solve for both inequalities
We can write our answer using set-builder notation or interval notation
Algebra Chapter 9.1-9.3 Review
Inequalities and Problem Solving

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