Math, asked by shubhansh2207, 7 months ago

Please Solve this Inequality 1/x-2≤2, 1/x-2 is equal to or less than 2

Answers

Answered by senboni123456
2

Step-by-step explanation:

 \frac{1}{x - 2}  \leqslant 2

 =  >  \frac{1}{x - 2}  - 2 \leqslant 0

 =  >  \frac{1 - 2(x - 2)}{x - 2} \leqslant 0

 =  >  \frac{1 - 2x + 4}{x - 2}  \leqslant 0

Multiplying both side by '-', so sign of inequality will be changed,

 =  >  \frac{2x - 5}{x - 2}  \geqslant 0

 =  > x \in( -  \infty  \: to \: 2)  \: union \: ( \frac{5}{2}  \: to \: \ \infty )

Answered by itzcrazyboy47
1

Answer:

x<−52× or ×−1<x<2. Explanation: First of all, note that your inequality is only defined if your denominators are not equal to zero:.

Step-by-step explanation:

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