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2­7 Inequalities.notebook
October 17, 2016
2­7 ­ Inequalities
What are the inequality symbols?
Write the inequalities for the verbal expressions:
1) All real numbers x less than or equal to ­7
2) 6 less than a number k is greater than 13
3) 5 more than the quotient of a number and 3 is less than 10
4) Twice the sum of t and 7 is less than ­3
Write an inequality for each situation. Define the variable used.
1.
2.
3. To go on the roller coaster you must be taller than 3 ft and shorter than 5 ft tall.
4. The age of people at the party was either less than 5 or greater than 30.
2­7 Inequalities.notebook
October 17, 2016
Identifying solutions of inequalities: Substitute the value, simplify and check to see if the statement is true. If the statement is true, the value is a solution, if not, then the value is not a solution.
Is ­3 a solution of ?
Are ­1, 1, and 3 solutions of
Is ­1 a solution?
? Graphing Inequalities: One­variable inequalities are graphed on a number line. If there is an "equal to" part to the inequality, fill in a circle at the value of the variable, if there is not, then there should be an open circle at that value.
2­7 Inequalities.notebook
Write an inequality for each graph of solutions.
Are the two statements the same?
October 17, 2016