Connecting Words and Symbols
Connecting Words and Symbols
To write and graph inequalities, you must connect words with symbols. Use the table
below to help make the connection.
Symbol
Words
Graph
"less than"
"less than or equal to"
"no more than"
"at most"
"greater than"
"more than"
"greater than or equal to"
"no less than"
"at least"
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Connecting Words and Symbols
Directions: Answer each question using the chart from the previous slide.
1. What are three ways to say
in words?
_______________________________
_______________________________
_______________________________
2. Does the graph of
have an empty circle, or a solid circle? Why?
___________________________________________________________________________________
3. Draw the graph of m is less than or equal to -2.
4. Mitchell's goal is to get a grade, g, of at least 85% on his next Algebra quiz. Translate these words
into symbols. Then graph the inequality.
__________________________________
graph:
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Connecting Words and Symbols
Directions: For each situation: Define a variable. Write an inequality. Graph the solutions
Example: To enter the play area, children must be more than 4 feet tall.
________________________
1)
graph:
As of July 1988, the speed limit on rural interstates in Virginia is at most 65 mph.
________________________
graph:
2) Grace is at least 8 inches taller than her younger sister.
________________________
graph:
3) Ten times a number increased by five is less than 15.
________________________
graph:
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Connecting Words and Symbols
Regents Question
HOMEWORK
Directions: For each situation: Define a variable. Write an inequality. Graph the solutions
1) To qualify for the job, applicants must have at least 3 years of experience in the field.
________________________
graph:
2) Eight times a number decreased by 5 is greater than 23. (Write the inequality, solve for the
variable and graph)
________________________
graph:
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Connecting Words and Symbols
Define a variable, write an inequality, and solve each problem. Then check your solution.
1. Two thirds of a number decreased by 27 is at least 9.
2. The sum of two consecutive odd integers is at most 123. Find the pair with the greatest sum.
Let 2x+1 = one of the integers
Let 2x+3 = the other integer
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