Lesson Plan

Solve an absolute value equation or inequality with one linear expression inside the bars, reading $|x - c|$ as the distance from $x$ to $c$

Solve $|X| = k$ by isolating the bars and splitting into $X = k$ or $X = -k$, identifying the no-solution ($k < 0$) and one-solution ($k = 0$) cases, and discarding extraneous candidates when a variable sits outside the bars

Solve $|X| < k$ as the single interval $-k < X < k$ and $|X| > k$ as two rays joined by "or", graph each, and explain the difference from the distance picture

Translate a tolerance statement into an absolute-value inequality, and an interval back into a centre-and-tolerance statement

A 606. Solve absolute value equations (Algebra, 28–32) A 701. Solve simple absolute value inequalities (Algebra, 33–36) N 404. Understand absolute value in terms of distance (Number & Quantity, 20–23) A 503. Solve first-degree inequalities when the method does not involve reversing the inequality sign (24–27) A 504. Match compound inequalities with their graphs on the number line (e.g., –10.5 < x ≤ 20.3) (24–27) A 602. Solve linear inequalities when the method involves reversing the inequality sign (28–32)