a number minus 3 is at least -5

Question

its about inequalities and im in algebra 1

Answer 1

The term "at least" means the lowest number you can have.  In other words, you cannot have a number less than that point.  So we use the greater than or equal symbol.

 

 

 

x - 3 ≥ - 5

 

 

Add 3 on both sides of the inequality.

 

x  ≥ -2

 

 

x is any number greater than or equal to -2.

 

 

 

If the term was "at most", then that is the highest number you can have, and you can go no higher than that.  In this case, we would have used the less than or equal to symbol.

 

 

 

These terms are important to understand when working with inequalities.

Answer 2

So let x be "the number"..

x-3 "is at least" -5;

we write that x-3> -5

Add 3 to both sides:

  x > -2