Question

Solve the inequality. Express your answer in interval form.
x^2 + 2x − 3 ≥ 0

Answer 1

factor left hand side

Answer 2

x= -3 x=1

Answer 3

(−infinity, −3] union [1, infinity)
?

Answer 4

you got..\[(x-1)(x+3)\ge 0\] right?

Answer 5

yeah

Answer 6

it is possible when (x-1) and (x+3) must have same sign.....that means they must be positive both or negative both....agree?

Answer 7

how are they both negative or positive its -3 on the inequality

Answer 8

let....\[x*y \ge0\]
if we put x=5 and y=-5....does it satisfy?

Answer 9

it does not satisfy...if x and y have similar sign then it satisfy....
so \[(x-1)\ge 0\] or \(x\ge 1\) and
\((x+3)\ge 0\) or \(x\ge -3\)