Question

(x+8)/(x−2)
≤ 0

Answer 1

Please write problem cleraly

Answer 2

what are you asking for??

Answer 3

solve the inequality ( i am not sure if this will help you)

\[x+8/x-2\le0\]
Find all the values where the expression switches from negative to possitive by setting each factor equal to 0 and solving.
(x+8)=0
(x-2)=0
Solve for each factor to find the values where the absolute value expression goes from negative to positive
x=-8
x=2
To find the solution less than 0, break the set into real number intervals. based on the values found earlier.
\[x \le-8\]
\[-8\le x \le 2\]
\[2\le x\]
Determine if the given interval makes each factor possitive or negative If the number of negative factors is odd then the entire expression over this interval is negative. If the number of negative factors is even, then the entire expression interval is positive.
\[x \le -8\] makes the expression positive
\[-8\le x \le 2 \] makes the expression negative
\[2\le x\] makes the expression positive

since this is a less than 0' inequality all intervals that make the expression negative are part of the solution
\[-8\le x \le 2\]
remove any values from the solution that make the denominator equal to o in this expression
\[x \neq 2\]

answer
\[-8\le x \le 2\]