Which of the following inequalities has no solution?

Solving all the 4 choices would show us the right answer.

Number 1:

 (Note: that multiplying/dividing by a negative number reverses the inequality sign)

The first one says m is greater than or equal to 3 and second one says m is greater than or equal to 5. So there are solutions that overlap and satisfies both.

Number 2:

The first one says m is less than or equal to -2 and second one says m is less than 2. So there are solutions that overlap and satisfies both.

Number 3:

The first one says m is greater than -4 and second one says m is greater than -3. So there are solutions that overlap and satisfies both.

Number 4:

The first one says m is greater than 14 and second one says m is less than or equal to -4. There is NO number that is both greater than 14 AND less than -4.

So, the fourth option doesn't have solution.

ANSWER: Inequalities    and (option 4) doesn't have a solution.

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier