Writing and Graphing Inequalities Flashcards

Grade 6 · Math · Flashcards

Key terms, symbols, and rules for inequalities in Grade 6 math.

Flashcards

< (less than): x < 5 means x is strictly less than 5 — 5 itself is not a solution
> (greater than): x > 3 means x is strictly greater than 3 — 3 itself is not a solution
≤ (less than or equal to): x ≤ 7 means x is 7 or anything less — 7 is included
≥ (greater than or equal to): x ≥ 2 means x is 2 or anything greater — 2 is included
Open circle: Used on number line for strict < or > — boundary NOT included
Closed circle: Used on number line for ≤ or ≥ — boundary IS included
Solving an inequality: Use same inverse operations as equations — BUT flip sign when multiplying/dividing by negative
At least: Translates to ≥ — 'at least 10' → x ≥ 10
At most / no more than: Translates to ≤ — 'at most 20' → x ≤ 20
More than / greater than: Translates to > — 'more than 5' → x > 5
Fewer than / less than: Translates to < — 'fewer than 8' → x < 8
When to flip inequality sign: ONLY when multiplying or dividing both sides by a NEGATIVE number