Before we use linear inequalities to solve problems, we need to review some key words that you need to recognize. In the table below, try to figure out which inequality symbol you would use.
Click on the symbol to see the inequality meaning and phrase associated with it:
Symbol | Meaning | Phrase |
\(\small\mathsf{ \geq }\) | greater than or equal to | At Least |
\(\small\mathsf{ \leq }\) | less than or equal to | No More Than |
> | greater than | More Than |
< | less than | Less Than |
Ok, now it's your turn. Complete the table below by writing the inequalities to correspond to the inequality symbols. Click on the heading "Inequality" to reveal the correct solution.
Wording | Inequality |
average is greater than 85 | average > 85 |
cost is at most $65 | cost \(\small\mathsf{ \leq }\) 65 |
salary is at least $800 | salary \(\small\mathsf{ \geq }\) 800 |