{"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 12 - Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/2024_mock_amc12-p13", "prev": "/problem/2024_mock_amc12-p11"}}