4a. If (11+x) is positive, but (4+x) is negative, what is one number that x could be?

Step-by-step explanation:

x has to be equal to or less than a -5 to get (4 + x) to be a negative number.

x has to be equal to or greater than -10 for (11 + x) to be a positive number.

Therefore, any number between -10 and -5 will work.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!