Question

Solve the inequality: x2 - 5x + 6 ≥ 0.
A. x ≤ 2 or x ≥ 3
B. 2 ≤ x ≤ 3
C. x ≤ or x ≥ 6
D. x ≤ -6 or x ≥ -1

Answer 1

factor the equation.

Answer 2

i got A

Answer 3

is tht right?

Answer 4

First you factor the equation, which we can see is given by (x-2)(x-3). I find it easiest to draw a graph of the quadratic in this scenario as it can get confusing thinking about all the different scenarios. So Since we are looking for all the values that the graph is ABOVE or equal to 0, we can see those regions shaded on the graph. All the x values left of 2, and all the values right of 3. So the answer would be \[x \le2 \] and \[x \ge3\] As the region between 2 and 3 is below 0. Hope this helped :)