2­10 and 2­11 Solving absolute value equations and inequalities.notebook October 31, 2016
2­11 ­ Solving Absolute Value Inequalites
"What values are less than 6 units from 0 on a number line?"
"What values are greater than 6 units from 0 on a number line?"
Solving Absolute Value Inequalities
To solve an inequality in the form |A| < b, where A is an expression with a variable, and b > 0, solve the compound in equality:
­b < A < b
Solve: |2x ­ 1| < 5
To solve an inequality in the form |A| > b, where A is an expression with a variable, and b > 0, solve the compound in equality:
A < ­b or A > b
Solve: |0.5x + 4| > 6
The same rules apply for |A| ≤ b and |A| ≥ b.
2­10 and 2­11 Solving absolute value equations and inequalities.notebook October 31, 2016
Solving "less than" absolute value inequalities ­ "AND"
Solving "greater than" absolute value inequalities ­ "OR"
2­10 and 2­11 Solving absolute value equations and inequalities.notebook October 31, 2016
Mixed Practice ­ Solve and graph each problem
1.
2.