Inequalities and Graphing Flashcards

Question 1

What do the symbols $<$ and $>$ mean?

Accepted Answer

$a<b$ means $a$ is less than $b$; $a>b$ means $a$ is greater than $b$.

Question 2

What happens to an inequality when you multiply or divide both sides by a negative number?

Accepted Answer

You must reverse the inequality sign (for example, from $<$ to $>$).

Question 3

Solve the compound inequality $x\leq -1$ or $x>2$ and describe its graph.

Accepted Answer

Solution: $x\leq -1$ or $x>2$. Graph: closed circle at $-1$ shaded left; open circle at $2$ shaded right.

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