I'm having problems solving this two. Please help

7x-5<4

4/x -4>5

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- Nov 29th 2006, 02:32 AMjerryramosHelp inequalities
I'm having problems solving this two. Please help

7x-5__<__4

4/x -4__>__5 - Nov 29th 2006, 03:53 AMSoroban
Hello, Jerry!

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.*

Quote:

We are given: .. .

Add 5 to both sides: .

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

Quote:

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: . . . . . .