Answer to Question #348906 in Algebra for Sarita bartwal

Question #348906

Show that if 5/3< 2x< 11/3, then x∈{y∈R such that |y- 4/3| < 1/2}

Expert's answer

"5\/3<2x<11\/3\\\\\n5\/6<x<11\/6"

"|y- 4\/3| < 1\/2\\\\\n-1\/2<y- 4\/3<1\/2\\\\\n-1\/2+4\/3<y<1\/2+4\/3\\\\\n5\/6<y<11\/6"

so "x\\in \\{ y\\in R: |y-\\frac{4}{3}|<\\frac{1}{2}\\}"

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