Question

What are the solutions to the inequality (x-3)(x+5)greater than and =0​

Answer 1

3 and -5

Explanation:

(x-3)(x+5)greater than and =0​

separate

(1).

x - 3 > 0

add 3 to both sides

x > 3

(2).

x + 5 > 0

subtract 5 from both sides

x > -5

So, The solutions are 3 and -5

Answer 2

Answer:
`(-\infty,-5]\ U\ [3,\infty)`

Explanation:

Given the inequality
`(x-3)(x+5)\geq 0`, to find the solutions, we need to follow this procedure:

- First case:

`x-3\geq 0` and
`x+5\geq 0`

Solve for the variable "x":

`x\geq 0+3\\x\geq 3`

`x\geq 0-5\\x\geq -5`

Then:

`x\geq 3`

- Second case:

`x+5\leq 0` and
`x-3\leq 0`

Solve for the variable "x":

`x\leq 0-5\\x\leq -5`

`x\leq 0+3\\x\leq 3`

Then:

`x\leq-5`

Finally, the solution is:

`(-\infty,-5]\ U\ [3,\infty)`