Linear Inequalities: From Number Lines to Solution Regions
Create a 7-slide visual lesson for 10th-grade students. Slides: 1 learning target and connection from one-variable number lines to two-variable solution regions; 2 what a boundary equation means; 3 solid boundaries for <= and >=; 4 dashed boundaries for < and >; 5 fully worked example y >= 2x - 1 using test point (0,0); 6 fully worked example y < -x + 3 using test point (0,0); 7 the three-step routine: graph the boundary, evaluate a point, shade the side where the inequality is true. Include clear coordinate-plane visuals, readable labels, and one misconception reminder that shading must be justified by substitution. Do not include student tasks.
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