Question

-16<2+9x<11

Answer 1

-16<2+9x<11
Subtract 2 each side
-16-2<9x<11-2
-18<9x<9
divide by 9
-2<x<1
(-2,1)

Source: http://www.mathskey.com/question2answer/

Answer 2

I assume you want to simplfy this equation. To do this, we need to get the "x" by itself.

2+9x can also be written +2+9x or 9x+2 or +9x+2

-16 < +2+9x < 11

What is the opposite of +2 ?

Right. -2

Subtract 2 from all three parts of the equation

-16 - 2 < + 2 - 2 + 9x < 11 - 2

What is -16-2?

Right, -18 (signs the same so we add the digits and keep the sign)

What is 11-2?

Right, 9

-18 < 9x < 9

Now, we need to get rid of the 9

9 TIMES X

What is the opposite of TIMES?

Right, DIVIDE

Divide all three parts of the equation by 9 and what do you get?

-18 / 9 < 9x / 9 < 9/9

What did you get?