The quotient of a number and -5 increased by one is at most 7

Question

it needs to be a inequality problem thank u

Answer 1

Quotient means division (or rather the answer to a division problem). So the "quotient of a number and -5" would just be x/-5, where x is the number you don't know. Adding in the increase by 1 and "at most 7", you get:

 

x/(-5)+1 < 7 (at most 7, means it can't be more than 7)

 

Now we can just solve that:

 

• x/(-5)+1 < 7
• x/(-5) < 6
• x > -30 (remember, multiplying by a negative number basically flips the problem around, so we have to change our sign)