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.
\(r < 11\)