Question

If six more than the product of a number and -2 is greater than 10, which of the following could be that number

Answer 1

To get that number in the problem, you need to translate first the word problem into mathematical expression.

We will let x as the number.
six more than the product of a number and -2 is greater than 10 can be written as  (-2x) + 6 > 10
We will now solve for x to get the number.
         (-2x) + 6 > 10
Add -6 to both sides of the equation
      -2x + 6 - 6 > 10 - 6
                  -2x > 4
Divide both sides of the equation with -2
Take note that if we divide a negative number in inequality, the inequality symbol will be change from greater than to less or from less than to greater than.
             -2x / -2< 4 / -2
                     x < -2

Therefore, the number that we are looking for is less than -2.