Solve: x (x - 2)/( \\ x + 1) ≤0

Question

Solve:

`x (x - 2)/( \\ x + 1) ≤0`

Answer 1

The solution to the inequality expression
`x (x - 2)/(x + 1) \le 0` is -2 ≤ x ≤ 0

How to evaluate the inequality expression

From the question, we have the following parameters that can be used in our computation:

`x (x - 2)/(x + 1) \le 0`

Multiply both sides of the inequality expression by x + 1

So, we have

x(x + 2) ≤ 0

When expanded, we have

x ≤ 0 and x ≤ -2

Combining this, we have

-2 ≤ x ≤ 0

Hence, the solution to the inequality expression is -2 ≤ x ≤ 0

Question

Solve:

`x (x - 2)/(x + 1) \le 0`