Interpreting Inequalities Flashcards

All 5 cards in this deck

What does the symbol $\le$ mean?

Less than or equal to.

What is a double inequality?

e.g. $-3 < t \le 2$

An inequality giving both a lower and an upper bound for the unknown.

e.g. $t$ is greater than $-3$ and less than or equal to $2$.

For the inequality $-2 \le n < 5$ where $n$ is an integer, what is the greatest possible value of $n$?

$4$ — because $5$ itself is not included by $<$.

True or false? $x < 5$ and $x \le 5$ give the same list of integer values.

False. $x \le 5$ includes $5$; $x < 5$ does not.

True or false? "No more than 30 people" is written as $p < 30$.

False. It is $p \le 30$, since 30 people is allowed.