Name: ______________________
M8-U12: Notes #1 – Translating and Graphing Inequalities
Class: __________________
Date: __________________
Vocabulary:
Inequality is a mathematical sentence that compares two unequal expressions.
Here is a chart of words or phrases associated with the inequality symbols:




Example 1: Translate and graph the solution set for the following sentences:
A number q is less than 2.
Open dot means the number is __________ of the solution set, thus it is not shaded.
1
Example 2: Translate and graph the solution set for the following sentences:
A number n is greater than or equal to –4.
Closed dot means the number ____________ of the solution set, thus it is shaded.
Example 3: Given the following inequality, write a word sentence and graph the inequality.
x  4
Example 4: Given the following graph, write the inequality and a word sentence.
2
Problem Solving Tip
Notice that anytime that you can say “equal to” the dot is closed.
Otherwise the dot is open.
Therefore: the open dots are < and > and .
The closed dots are
and =.
Try It!
1. Translate and graph the solution set for the following sentences
A number m is greater than 5.
2. Translate and graph the solution set for the following sentences
A number t is at most –1.
3. Given the following inequality, write a word sentence and graph the inequality.
x 1
4. Given the following graph, write the inequality and a word sentence.
3
Practice: Given the word sentence, inequality, or graph write the other two representations.
1. y is less than negative four
2. k is no more than seven.
3. p has a minimum of negative five.
4. the temperature in a refrigerated truck must be kept at or below 38oF.
5. at least twenty students were sick with the flu.
4
6. x  0
7. x 
1
2
8. 2  x
9.  5  b
10.
11.
12.
5