Download Simple Inequalities- a single inequality statement

A2H Notes
Unit 1: Equations and Inequalities
1.6-Linear Inequalities
Simple Inequalities- a _________________inequality statement.
Compound Inequalities- two inequalities joined by ____________________ making a
dual statement.
Inclusive symbols- (>, <) _________________ at the endpoint on the number line.
Exclusive symbols- (<, >) _________________ at the endpoint on the number line.
Solutions to Inequalities- when substituted into the inequality make a
________________________ or the values that fall in the ____________________ on
the number line.
Example1: Graphing on a number line. (simple inequalities)
a. Graph x < 2.
b. Graph x > -1.
Example 2: Graphing compound inequalities on a number line.
a. -1 < x < 2 (And)
b. x < -2 or x > 1 (Or)
Example 3: Solve simple inequalities.
a. 5x +2 > 7x -4
b. 3 – x > x – 9
Example 4: Solve compound inequalities.
a. -4 < 6x – 10 < 14
b. 3x + 5 < 11 or 5x – 7 > 23
A2H-Notes
Unit I: Equations and Inequalities
1.7- Absolute Value Equations
Absolute Value- the _______________ a number is away from zero.
Key Concept: Solving absolute value equations.
Steps to solve an absolute value equation |ax + b| = c for c > 0.
Write two equations: __________________________
Solve each equation.
Check each solution in the original absolute value equation.
Example 1: Solve and graph the solution. Check each solution!
1. |x – 5| = 7.
2. |5x – 10 | = 45.
3. |2x + 12 | = 4x
Guided Practice: Solve each equation and check for extraneous solutions.
1. |x| = 5
2. |3x – 2| = 13
3. |2x + 5| = 3x