To Explain:
The inequality equation
Answer to Problem 41AYU
The inequality equation
Explanation of Solution
Given Information:
The given equation is:
One comparing it with the standard quadratic equation:
Now, the given quadratic equation contains a set of all real numbers as solution set when it satisfies the following condition:
Put all values:
So, the given equation hasnegative discriminate value. When the value of discriminate is negative, that means there are no real roots for the given quadratic equation.
When the equation has no real roots, there is no critical number for equation which directly shows that for the given there is only one interval;
So, when the quadratic equation contains only one interval it implies that the set of solution is nothing but all real numbers.
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus & Its Applications (14th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
Calculus: Early Transcendentals (2nd Edition)
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning