This document summarizes how to solve compound inequalities with "and" or "or" connectives. It explains that a compound inequality involves two or more inequalities connected by "and" or "or". For "and", the goal is to isolate the variable between the two signs by undoing operations on both sides. For "or", the goal is to isolate the variable on both parts of the inequality by undoing operations for each inequality separately. Examples are provided to illustrate solving compound inequalities with "and" or "or" and reversing inequality signs.

1. Algebra 1
6.3 Solving Compound Inequalities
A compound inequality is ____________ inequalities connected by ________ or ______.
EX1: Write an inequality that represents the set of numbers. Then graph the inequality.
a) All real numbers that are greater than zero and less than or equal to 4.
b) All real numbers that are less than -1 or greater than 2.
Solving Inequalities with And
Goal: Get x by itself between the two signs.
• Undo the order of operations to x from the middle and on __________ sides.
EX2: Solve −2 £ 3x - 8 £ 10 . Write the answer in set notation and graph the solution.
Solving Inequalities with Or
Goal: Get x by itself on both parts of inequality.
• Undo the order of operations to x for the _____________ inequality.
• _______________ for the second inequality.
EX3: Solve 3x + 1 < 4 ορ 2 ξ − 5 > 7 . Write the answer in set notation and graph.
Reversing Both Inequality Signs
EX4: −2 < - 2 - x < 1
HW p. 349 (12 – 34 even)