Algebra 2
different problems to practice regarding solving inequalities
Terms
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- Multiplication Property
- if abc
- when do you change the inequality sign
- the sign of the inequality is changed when you multiply or divide each side by a negative number
- IxI > 1
- x < -1 or x > 1
- x is no greater than b
- x < b
- disjunction
- a sentence formed by joining two sentences with the word or - a disjunction is true when at least one of the sentences is true
- Steps to Solve Absolute Value Problems
- 1. Move all terms to the left hand side and make sure the absolute term is positive .... 2. Rewrite the inequality in 2 inequalities. First inequality: replace the absolute value sign with parentheses. Second inequality: replace the absolute value sign with parentheses AND add a negative sign in from of the term. ... 3. Solve for x in both inequalities. ... Combine the answers in both inequalities as an AND or OR statement, depending on the sign of the rearranged inequality in step 1
- IxI < 1
- -1 < x< 1
- x is no less than a
- x > a
- Comparison Property
- one of the following statements ab
- x is at least a
- x > a
- x is at most b
- x < b
- IxI = 1
- x = 1 or x =-1
- x is between a and b (inclusive)
- a < x < b
- x is between a and b
-
a
- Addition Property
-
if a
- Transitive Property
- if a