The inequality x + 12x + 35 has two critical points and three possible intervals for solutions. choose

each set of possible test points for the three intervals.

-8,-6,4

-10, -6,0

-6,0,6

-6,0, 10

Option 1 and 2.

Step-by-step explanation:

Consider he given inequality is

Splitting the middle term we get

The related equation is

Using zero product property we get

Draw number line and mark -5 and -7 on it.

Now the three intervals are (-∞ , -7], [-7,-5] and [-5,∞).

The set of possible test points for

⇒ (-∞ , -7] → -8,  -10

⇒ [-7,-5] → -6

⇒ [-5,∞) → -4, 0, 4, 6

-8,-6,-4 and -10,-6,0 satisfies the given condition.

Therefore, the correct options are 1 and 2.