## studyopen101 solve the inequality x^2+x-6>or equal to-4 by using a table and a graph 2 years ago 2 years ago

1. Mr.Math

$x^2+x-6\ge -4 \implies x^2+x-2\ge0 \implies (x+2)(x-1)\ge0$

2. FoolForMath

$$\Rightarrow x \le -2 \text{ or } x \gt 1$$

3. Mr.Math

Now, you need to study the intervals as shown below: -2 1 --------------------------------- - + + x+2 - - + x-1 + - + (x+2)(x-1)

4. Mr.Math

So our intervals are then $$(-\infty,-2] + [1,\infty)$$.

5. FoolForMath

Just a minute typo: $\Rightarrow x \le -2 \text{ or } x \ge 1$

6. Mr.Math

Yeah.

7. studyopen101

Thanks!

8. Mr.Math

What's the latex for union? @FFM

9. FoolForMath

$$\cup \cap$$

10. Mr.Math

lol

11. FoolForMath

;)