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

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.