Question

A number m is more than -7 2/3 or at most -10What would the inequalities be?What would the graph look like?

Answer 1

m > -23/3

m ≤ -10

Step-by-step explanation:

If the number m is more than -7 2/3, then the inequality is:

m > -7 2/3

But -7 2/3 can be written as a fraction as:

`-7(2)/(3)=-(7\cdot3+2)/(3)=(-23)/(3)=-7.66`

So, an equivalent inequality is:

m > -23/3

On the other hand, if the number is at most -10, then the inequality is:

m ≤ -10

Finally, the graph of both inequalities is: