{"question":{"question":{"content":"Solve the inequality $8n < 24$ and select the correct representation on a number line. [[☃ radio 1]]","widgets":{"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"$n < 3$: open circle at $3$, arrow pointing left","correct":true,"clue":""},{"content":"$n > 3$: open circle at $3$, arrow pointing right","correct":false,"clue":""},{"content":"$n \leq 3$: closed circle at $3$, arrow pointing left","correct":false,"clue":""},{"content":"$n \geq 3$: closed circle at $3$, arrow pointing right","correct":false,"clue":""},{"content":"$n < 4$: open circle at $4$, arrow pointing left","correct":false,"clue":""}],"multipleSelect":false,"randomize":false,"deselectEnabled":false,"autoPlay":false},"version":{"major":1,"minor":0}}},"images":{}},"hints":[{"content":"**Step 1.** Divide both sides by $8$: $$8n < 24$$ $$\frac{8n}{8} < \frac{24}{8}$$ $$\frac{\cancel{8}\,n}{\cancel{8}} < 3$$ $$n < 3$$ **Step 2.** Since the inequality is strict ($<$), we use an **open circle** at $3$. The arrow points **left** because $n$ is *less than* $3$. [[☃ ltb-image 1]] **Step 3.** Therefore, $n < 3$.","widgets":{"ltb-image 1":{"type":"ltb-image","alignment":"center","static":true,"graded":false,"options":{"imageUrl":"https://ltb-images-dev.s3.us-west-1.amazonaws.com/ai_generated_images/math_prealgebra_4031_q1_hint.png","altText":"Number line showing n < 3: open circle at 3, arrow pointing left","alignment":"center"}}}}],"answerArea":{},"itemDataVersion":{"major":0,"minor":1},"settings":{"whiteboard":false}},"problemId":256475,"readOnly":true,"containerized":true,"hintsEnabled":false}

Representing Solutions to Inequalities on Number Lines