Question

2z + 6 < 2(z + 7)
i need the answer and steps in number form

Answer 1

All values for z are true.

Explanation:

`2z + 6 < 2(z + 7)`

Expand:

`2z+6<2z+2* 7`

`2z+6<2z+14`

Subtract 6 from both sides:

`2z+6-6<2z+14-6`

`2z<2z+8`

Subtract 2z from both sides:

`2z-2z<2z+8-2z`

`0<8`

Thus, all solutions for z are valid as 0 < 8 is true, and the value of z does not affect this end result of "0 < 8".