Review of Inequalities

Watch this lecture series and complete the interactive exercises to review what an inequality is, what it means to find a solution set, and how to represent it on a number line.

Inequalities word problems - Questions

Answers

1. x < 1904 or 1904 > x

Since the war started in 1904, we want an inequality that represents years before 1904

x represents years, so we want this to be less than 1904.

The inequality can be written x < 1904 or 1904 > x.


2. d > -7

We want to represent account values with more than -7 dollars.

In mathematical terms, we want to represent account values with greater than -7 dollars.

d > -7


3. t > 212 or 212 < t

Every temperature above 212^{\circ} is higher than the boiling point of water.

What relation does t have to 212 if t is higher than the boiling point of water?

We want the inequality to say that t is greater than 212.

In other words, we want t > 212 or 212 < t.


4. r < 11

Since Ruth is lighter than Scoonsie, she must be lighter than 11 kilograms.

We want to write an inequality that shows weights less than 11 kilograms.

r < 11