AlgebraSolve the inequality |x – 5| < 2.
3 years ago
Solve the inequality |x - 5| < 2.
1 Answers
Best Answer
elifb Staff answered 3 years ago
Step 1 To solve |x-5|<2, first remove the absolute value. The inequality of the form |x| Step 2 To solve the inequality -2<x-5<2, add 5 to all the parts of the inequality and simplify as follows: -2<x-5<2 -2+5<x-5+5<2+5 3<x<7 Therefore, the solution of the inequality is (3, 7).
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