Tap valid numbers

Find all integers where

Hint: Absolute value means distance from 0.

Perfect! You found the "inside" region.

Drag to split

Split the "greater than" inequality

This means the distance from 0 is more than {{s2_C}}.

OR
Correct! It splits into an OR statement.

Draw the range

Solve by drawing the region

Distance from {{s3_A}} is at most {{s3_C}}.

{{ i - 7 }}
Drag across the number line to draw Nailed it! Center shifted to {{s3_A}}.

Build the solution

Construct the split inequalities for

{{ s4_val1 }}
{{ s4_val2 }}
Masterful! You built the compound inequality.
🏆

Concept Mastered!

You've successfully decoded absolute value inequalities, translating distances into "AND" and "OR" statements.