The general rule for solving inequalities is something like:
. . Solve as if it were an equation except: when multiplying or
. . . . dividing by a negative quantity, reverse the inequality.
We are given: .. .
Add 5 to both sides: .
Divide by 7:. . . . . . . .
There is one more rule:
. . When taking reciprocals of both sides of an inequality,
. . . . reverse the inequality.
For example: .
We are given: . . .
Add 4 to both sides: .
Take reciprocals: . . . . (reverse the sign)
Multiply by 4: . . . . . .