Solve the inequality |x-3|<2

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Solve the inequality |x-3|<2

Discrete Math
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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1
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how to go about
want me to explain it, is that what ur asking?
im 99.99% sure its right nearly , the only mistake that there could possibly be is that somehow i cant see the problem correctly
|x−3|<2 Remove the absolute value term. This creates a ± on the right-hand side of the equation because |x|=±x. x−3<±(2) Set up the + portion of the ± solution. x−3<2 Move all terms not containing x to the right-hand side of the inequality. x<5 Set up the − portion of the ± solution. When solving the − portion of an inequality, flip the direction of the inequality sign. x−3>−(2) Multiply −1 by the 2 inside the parentheses. x−3>−2 Since −3 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 3 to both sides. x>3−2 Subtract 2 from 3 to get 1. x>1 The solution to the inequality includes both the positive and negative versions of the absolute value. x<5 and x>1 The solution is the set of values where x<5andx>1. 1
Thats how u solve it, ur welcome
Thank you.....

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