Answer:
![n>-5](https://img.qammunity.org/2022/formulas/mathematics/high-school/lp0kn8r0rh7sr6v46s0maol1ti55l69if2.png)
Explanation:
−105<−7(5−2n)
Divide both sides by −7. Since −7 is negative, the inequality direction is changed.
> 5−2n
Divide −105 by −7 to get 15.
15>5−2n
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
5−2n<15
Subtract 5 from both sides.
−2n<15−5
Subtract 5 from 15 to get 10.
−2n<10
Divide both sides by −2. Since −2 is negative, the inequality direction is changed.
n>
![(10)/(-2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/6k8sw2h3zxi4t2ug2vx5emm31x07t4j0bf.png)
Divide 10 by −2 to get −5.
n>−5