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

Answer:

m > -23/3

m ≤ -10

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:

$-7\frac{2}{3}=-\frac{7\cdot3+2}{3}=\frac{-23}{3}=-7.66$

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: