Difference between revisions of "2017 AMC 10B Problems/Problem 3"
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==Problem== | ==Problem== | ||
− | + | Real numbers <math>x</math>, <math>y</math>, and <math>z</math> satify the inequalities | |
+ | <math>0<x<1</math>, <math>-1<y<0</math>, and <math>1<z<2</math>. | ||
+ | Which of the following numbers is necessarily positive? | ||
− | <math>\textbf{(A)}\ | + | <math>\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</math> |
==Solution== | ==Solution== |
Revision as of 11:36, 16 February 2017
Problem
Real numbers , , and satify the inequalities , , and . Which of the following numbers is necessarily positive?
Solution
2017 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
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