Chapter 2.5, Problem 9E

To determine

To write: the sentence as an inequality.

Answer to Problem 9E

The required inequality is $m>-7\frac{2}{3}or\text{ m}\le -10$

Explanation of Solution

Given:

m is more than $-7\frac{2}{3}$ or at most $-10$

Calculation:

Identify key words in writing sentences as inequalities.

Since the phrase "more than” indicates > and “at most” indicates $\le$ , translate this as $m>-7\frac{2}{3}or\text{ m}\le -10$ .

Its graph should have an open point at $-7\frac{2}{3}$ and a shaded line going to the right of $-7\frac{2}{3}$ and a shaded line going to the left of $-10$ , as in:

  

Conclusion:

The required inequality is $m>-7\frac{2}{3}or\text{ m}\le -10$