Respuesta :
Given:
The inequality is
[tex]q+12-2(q-22)>0[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]q+12-2(q-22)>0[/tex]
It can be written as:
[tex]q+12-2q+44>0[/tex]
[tex](q-2q)+(12+44)>0[/tex]
[tex]-q+56>0[/tex]
Subtract 56 from both side.
[tex]-q>-56[/tex]
Multiply both sides by -1 and change the inequality sign.
[tex]q<56[/tex]
Therefore, the correct option is D.
