Question

Tìm số nguyên x biết

a) \(\left|x\right|< 2\dfrac{3}{4}\)

b) \(\left|x\right|>1\dfrac{3}{8}\)

c) \(\left|\dfrac{7}{6}\right|< \left|x-\dfrac{2}{3}\right|< \dfrac{26}{9}\)

Answer 1

\(a,\left|x\right|< 2\dfrac{3}{4}\)

\(\Rightarrow-2\dfrac{3}{4}< x< 2\dfrac{3}{4}\)

mà \(x\in Z\)

\(\Rightarrow x\in\left\{-2;-1;0;1;2\right\}\)

\(b,\left|x\right|>1\dfrac{3}{8}\)

\(\Rightarrow-1\dfrac{3}{8}< x< 1\dfrac{3}{8}\)

mà \(x\in Z\)

\(\Rightarrow x\in\left\{;-1;0;1;\right\}\)

\(\)

Answer 2

c: =>7/6<|x-2/3|<26/9

=>7/6<x-2/3<26/9 hoặc -7/6>x-2/3>-26/9

=>11/6<x<32/9 hoặc -1/2>x>-20/9

=>\(x\in\left\{2;3;-1;-2\right\}\)