Solving Inequalities (HSC SSCE Mathematics Advanced): Flashcards

Equation with inequality symbol ($<, \leq, >, \geq$) not $=$

Inequation: some $x$; Inequality: all $x$

$a$ is left of $b$ on number line

When multiplying/dividing by negative number

Move to LHS, sketch graph, read solution

Distance from $x$ to $a$ on number line

$f(x) = a$ or $f(x) = -a$

$-a < f(x) < a$

$f(x) < -a$ or $f(x) > a$

No solutions