Question

Solve for x: −2x − 4 > 8



x < −6

x > −6

x < −2

x > −2

Answer 1

the answer is x < -6

-2x - 4 > 8
-2x > 12
x < -6

Answer 2

Thank you :)!

Answer 3

You need -2x to be a number that is large enough that you can subtract 4 from it and still have it be greater than 8.

We cam set this up as an equation - to make it neater, lets just replace the -2x with a variable, we'll call it "n"

n-4 = 8

That's much easier - we can see now that n in this equation is 12. Now we can use that information to solve the inequality. Since the inequality is asking for any situation when -2x-4 is greater than 8, we know that -2x has to be equal to all numbers greater than 12.

Remember that when you multiply two negative numbers, the product is positive.
-2x(-6)= 12 so therefore any negative number with a value LOWER than -6 will make this inequality correct. Or mathematically,

x < -6

Remember you're dealing with negatives, so -7 is less than -6.