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.
