Question

what is the inequality of -2< 2x-4/3< 0

Answer 1

add 4/3 everywhere

Answer 2

-2+4/3<2x-4/3+4/3<4/3

Answer 3

and now divide by 2 each term that's it

Answer 4

\[-2 < 2x -4/3 < 0\]

Answer 5

-2 < 2x - 4/3 < 0 -- add 4/3 to each side
-2 + 4/3 < 2x - 4/3 + 4/3 < 0 + 4/3
-6/3 + 4/3 < 2x < 4/3
-2/3 < 2x < 4/3 -- divide by 2
(-2/3)/2 < 2x/2 < (4/3)/2
-2/3 * 1/2 < x < 4/3 * 1/2
-1/3 < x < 2/3

Answer 6

\[[3,\infty)\]