All Algebra II Resources
Example Questions
Example Question #10 : Quadratic Inequalities
Which value for would satisfy the inequality ?
Possible Answers:
Not enough information to solve
Correct answer:
Explanation:
First, we can factor the quadratic to give us a better understanding of its graph. Factoring gives us: . Now we know that the quadratic has zeros at and . Furthermore this information reveals that the quadratic is positive. Using this information, we can sketch a graph like this:
We can see that the parabola is below the x-axis (in other words, less than ) between these two zeros and .
The only x-value satisfying the inequality is .
The value of would work if the inequality were inclusive, but since it is strictly less than instead of less than or equal to , that value will not work.
Andrew
Certified Tutor
Certified Tutor
University of Wisconsin-Stevens Point, Bachelor of Science, Mathematics. University of Wisconsin-Oshkosh, Master of Science, ...
All Algebra II Resources
Popular Subjects
English Tutors in Denver, SAT Tutors in Miami, Chemistry Tutors in San Diego, GMAT Tutors in Dallas Fort Worth, GRE Tutors in Chicago, SSAT Tutors in Miami, Biology Tutors in San Francisco-Bay Area, Spanish Tutors in Denver, Computer Science Tutors in Seattle, Computer Science Tutors in New York City
Popular Courses & Classes
LSAT Courses & Classes in Atlanta, LSAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in San Diego, ACT Courses & Classes in Washington DC, MCAT Courses & Classes in Los Angeles, SAT Courses & Classes in New York City, LSAT Courses & Classes in Seattle, ISEE Courses & Classes in Houston, SAT Courses & Classes in Washington DC, SSAT Courses & Classes in Philadelphia
Popular Test Prep
LSAT Test Prep in Chicago, MCAT Test Prep in New York City, MCAT Test Prep in Denver, SAT Test Prep in Boston, ISEE Test Prep in San Diego, LSAT Test Prep in Los Angeles, GMAT Test Prep in San Francisco-Bay Area, GMAT Test Prep in Houston, ACT Test Prep in San Diego, ACT Test Prep in Washington DC