Algebra I Recipe: Solving Absolute Value Inequalities

1. Isolate the absolute value using inverse operations.
2. Write a compound sentence.
   • With “AND” if you have <  or  ≤ after isolating.
   • With “OR” if you have >  or  ≥ after isolating
   • Sentence 1 – is the isolated inequality without the absolute value bars
   • Sentence 2 – looks like sentence 1 except change the inequality symbol and change the number on the right to it’s opposite.
3. Solve each sentence (inequality) for the variable.
4. Graph the solution.