Question

Solve the inequality –(2 + 2x) – 2 > 6 for x.

Answer 1

–(2 + 2x) – 2 > 6 distribute the negative
-2 - 2x - 2 > 6 add like terms
-2x - 4 > 6 add 4 to both sides
+4 +4
-2x > 10 then divide both sides by -2
but don't forget to flip the sign when multiplying or dividing by a negative :)
so x is greater than ten divided by negative 2 simplified

Answer 2

or if you don't like remembering about flipping the signs, you could do it like this:

-(2+2x) - 2 > 6
-2 -2x -2 > 6
-4 - 2x > 6
add 2x to both sides
-4 - 2x + 2x > 6 + 2x
-4 > 6 + 2x
-4 -6 > 2x
-10 > 2x
-5 > x
or x < -5

Answer 3

thank you!

Answer 4

glad we could help :)