Question

Solve the absolute value inequality and express the solution set in interval notation. $$4-|x+1|>1$$

          Solve the absolute value inequality and express the solution set in interval notation.
$$4-|x+1|>1$$

Added by Richard P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Kathleen Carty

Step 1

Remember to flip the inequality sign when multiplying by a negative number: $$|x+1|<3$$ Now, we can split the inequality into two separate inequalities: $$x+1<3 \quad \text{and} \quad -(x+1)<3$$ Show more…

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Solve the absolute value inequality and express the solution set in interval notation. $$4-|x+1|>1$$

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Solve the absolute value inequality and express the solution set in interval notation. $$4-|x+1|>1$$

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