Greater Than?

Learning Focus

Solve and interpret linear inequalities.

Big idea

Solving inequalities mirrors equations except multiplying/dividing by a negative flips the inequality sign.

Worked example

$-2x+5>13$

1. Subtract 5: $-2x>8$
2. Divide by $-2$ and flip: $x<-4$

Takeaways

• Open circle for $<$ or $>$; closed for $\le$ or $\ge$.
• Test a point to confirm the shaded side.