Hello, Jerry!

The general rule for solving inequalities is something like:

. . Solve as if it were an equationexcept: when multiplying or

. . . . dividing by anegativequantity,reverse the inequality.

We are given: .. .

Add 5 to both sides: .

Divide by 7:. . . . . . . .

There is one more rule:

. . When takingreciprocalsof 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: . . . . . .