{"status": "success", "data": {"description_md": "Real numbers $x$, $y$, and $z$ satisfy the inequalities\n$0<x<1$, $-1<y<0$, and $1<z<2$.\nWhich of the following numbers is necessarily positive?\n\n$\\textbf{(A)}\\ y+x^2\\qquad\\textbf{(B)}\\ y+xz\\qquad\\textbf{(C)}\\ y+y^2\\qquad\\textbf{(D)}\\ y+2y^2\\qquad\\textbf{(E)}\\ y+z$", "description_html": "<p>Real numbers  <span class=\"katex--inline\">x</span> ,  <span class=\"katex--inline\">y</span> , and  <span class=\"katex--inline\">z</span>  satisfy the inequalities<br/>\n <span class=\"katex--inline\">0&lt;x&lt;1</span> ,  <span class=\"katex--inline\">-1&lt;y&lt;0</span> , and  <span class=\"katex--inline\">1&lt;z&lt;2</span> .<br/>\nWhich of the following numbers is necessarily positive?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ y+x^2\\qquad\\textbf{(B)}\\ y+xz\\qquad\\textbf{(C)}\\ y+y^2\\qquad\\textbf{(D)}\\ y+2y^2\\qquad\\textbf{(E)}\\ y+z</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2017 AMC 10B Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc10B_p04", "prev": "/problem/17_amc10B_p02"}}