( х-4) (х+2)>0

Предыдущий
вопрос Следующий
вопрос

To find the values of x that satisfy the inequality (x-4)(x+2) > 0, we first need to determine the critical points where the expression is equal to 0. This happens when either x-4=0 or x+2=0.

From x-4=0, we get x=4. From x+2=0, we get x=-2.

Now, we can create a number line and test the sign of the expression (x-4)(x+2) in each interval.

-∞---(-2)---(4)---∞

We see that the expression is positive in the intervals x<-2 and x>4. Therefore, the values of x that satisfy the inequality are x<-2 or x>4.

So, the solution is x<-2 or x>4.