Download Name Date Class Writing Inequalities An equation is a statement

Name _______________________________________ Date __________________ Class __________________
Writing Inequalities
WS
8.3
An equation is a statement that says two quantities are equal. An
inequality is a statement that says two quantities are not equal.
A solution of an inequality that contains a variable is any value or
values of the variable that makes the inequality true. All values that
make the inequality true can be shown on a graph.
Inequality
x3
Meaning
Solution of Inequality
All numbers greater
than 3
The open circle at 3 shows that the value 3 is
not included in the solution.
x3
All numbers greater
than or equal to 3
The closed circle at 3 shows that the value 3
is included in the solution.
x3
All numbers less than
3
x3
All numbers less than
or equal to 3
Graph the solutions of each inequality.
1. x  4
2. x 1
• Draw an open circle at 4.
• Draw a closed circle at 1.
• Read x > 4 as “x is greater than 4.”
• Read x 1 as “x is less than or equal to
1.”
• Draw an arrow to the right of 4.
• Draw an arrow to the left of 1.
3. a  1
4. y  3
Write an inequality that represents each phrase.
5. The sum of 2 and 3 is less than y.
_______________________________________
6. The sum of y and 2 is greater than or equal to 6.
_______________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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Name _______________________________________ Date __________________ Class __________________
WS
Writing Inequalities
8.3
Complete the graph for each inequality.
1. a  3
2. r  –2
Graph the solutions of each inequality. Check the solutions.
3. w  0
Check: ___________________________
4. b  4
Check: ___________________________
5. a  1.5
Check: ___________________________
Write an inequality that represents each phrase. Draw a graph
to represent the inequality.
6. the sum of 1 and x is less than 5
7. 3 is less than y minus 2
_____________________________________
_____________________________________
Write and graph an inequality to represent each situation.
8. The temperature today will be at least 10F. _________________________
9. Ben wants to spend no more than $3.
_________________________
Write an inequality that matches the number line model.
10. _________________________
11. _________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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