Solving iniquities

Question

four less than three times a number is less than twenty-five 

Answer 1

Hi Frieda,

"four less than" means you must subtract 4 from whatever they say next.

"three times a number"  is  3x  (if x is the number)

 

So four less than 3 times a number is    3x-4

 

And for it to be less than twenty-five, you need

 

3x - 4 < 25

 

Now just solve it like you would a regular equation, only now you have an inequality.

 

Add 4 to both sides.

 

3x < 29

 

Divide both sides by 3

 

x < 29/3