{"status": "success", "data": {"description_md": "Find the area of the region bounded by the following graphs  \n  \n$$  \n\\begin{aligned}  \nf(x) &= |x-1|+|x-3|+|x-4|\\\\  \ng(x) &= -x+8  \n\\end{aligned}  \n$$  \n  \n$\\textbf{(A)}~6\\sqrt2\\qquad\\textbf{(B)}~6\\qquad\\textbf{(C)}~3\\sqrt2\\qquad\\textbf{(D)}~4\\sqrt2\\qquad\\textbf{(E)}~3$", "description_html": "<p>Find the area of the region bounded by the following graphs</p>&#10;<p><span class=\"katex--display\">  &#10;\\begin{aligned}  &#10;f(x) &amp;= |x-1|+|x-3|+|x-4|\\\\  &#10;g(x) &amp;= -x+8  &#10;\\end{aligned}  &#10;</span></p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}~6\\sqrt2\\qquad\\textbf{(B)}~6\\qquad\\textbf{(C)}~3\\sqrt2\\qquad\\textbf{(D)}~4\\sqrt2\\qquad\\textbf{(E)}~3</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2024 Mock AMC 10 - Problem 15", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}