Question

The graph below represents the solution set of which inequality?x x2 - 2x - 8< 0 x2 + 2x - 80 O x² + 2X-830​

Answer 1

the answer is B on edge good luck

Explanation:

lol

Answer 2

The answer is "
`\bold{x^2 + 2x - 8< 0}`"

Explanation:

In this question, we calculates the roots value after compare with 0.

In the first point:

`\to \bold{x^2 - 2x - 8 < 0}`

`x^2 - (4-2)x - 8 < 0\\\\x^2 - 4x +2x - 8 < 0\\\\x(x - 4) +2(x - 4) < 0\\\\ \ \ \ (x - 4)(x + 2) < 0`

In the second point:

`\to \bold{x^2 + 2x - 8 < 0}`

`x^2 + (4-2)x - 8 < 0\\\\x^2 +4x -2x - 8 < 0\\\\x(x + 4) -2(x +4) < 0\\\\ \ \ \ (x + 4)(x - 2) < 0\\`

In the third point:

`\to \bold{x^2 - 2x - 8 > 0}`

`x^2 -(4-2)x - 8 < 0\\\\x^2 -4x +2x - 8 < 0\\\\x(x - 4) +2(x -4) < 0\\\\ \ \ \ (x - 4)(x + 2) < 0\\`

In the fourth point:

`\to \bold {x^2 + 2x - 8 > 0}`

`x^2 +(4-2)x - 8 < 0\\\\x^2 +4x -2x - 8 < 0\\\\x(x + 4) -2(x +4) < 0\\\\ \ \ \ (x + 4)(x - 2) < 0\\`

As there are roots -4 and 2, whether choice B and D is the answer. when measuring a point within the interval from -4 to 2, it is negative, that's why second choice is correct.