Question

a/ x-2/ lớn hơn hoặc bằng 1

b /2-x/<3

c /x+1/ bé hơn hoặc bằng 4

d /x+6/<2

Answer 1

a)\(\left|x-2\right|\ge1\)

* x-2 \(\ge\)0 \(\Rightarrow\)x\(\ge\)2

x-2\(\ge\)1 \(\Leftrightarrow\)x\(\ge\)3 ( t/m )

*x-2<0\(\Rightarrow x< 2\)

-x+2 \(\ge1\)\(\Leftrightarrow\) -x\(\ge\)-1 \(\Leftrightarrow x\le1\)(t/m)

Vây bpt co nghiem la x\(\ge\)3;x\(\le1\)

b)\(\left|2-x\right|< 3\)

* \(2-x\ge0\Rightarrow x\le2\)

\(2-x< 3\Leftrightarrow-x< 1\Leftrightarrow x>-1\)(t/m)

*\(2-x< 0\Leftrightarrow-x< -2\Rightarrow x>2\)

\(-2+x< 3\Leftrightarrow x< 5\)(t/m)

Các ý còn lại tương tự nhé