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Quadratic Inequalities
Module in Mathematics 9
First QuarterRALPH JOHNSON C. GENERA
DeveloperDepartment of Education Cordillera Administrative RegionRepublic of the Philippines
DEPARTMENT OF EDUCATION
Cordillera
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How to fill out quadratic inequality in one
How to fill out quadratic inequality in one
01
To fill out a quadratic inequality in one variable, follow these steps:
02
Write the quadratic expression in the standard form: ax^2 + bx + c.
03
Determine the roots of the quadratic equation by solving the equation ax^2 + bx + c = 0.
04
Plot the roots on a number line and mark them as open circles or filled circles based on whether the inequality is strict or non-strict.
05
Determine the sign of the quadratic expression (ax^2 + bx + c) in each interval formed by the roots.
06
Write the solution as an inequality by combining the intervals with the appropriate inequality symbols (< or >), considering the signs determined in step 4. Remember to use square brackets [ ] for inclusive intervals and round brackets ( ) for exclusive intervals.
Who needs quadratic inequality in one?
01
Quadratic inequality in one is primarily used in mathematics and algebra. It is important for various applications such as optimization problems, graphing quadratic functions, analyzing the behavior of quadratic equations, and determining the range of values for which the quadratic expression is positive or negative. Students, mathematicians, engineers, and individuals working in fields related to science and technology often encounter quadratic inequalities in their studies or profession.
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What is quadratic inequality in one?
A quadratic inequality in one variable is a mathematical expression which represents a relationship that involves a squared term (e.g., ax^2 + bx + c > 0). It defines a range of values for the variable that satisfy the inequality.
Who is required to file quadratic inequality in one?
Typically, individuals or entities that engage in activities resulting in quadratically-related financial implications or consequences may be required to file a quadratic inequality in one, depending on the jurisdiction and specific regulations.
How to fill out quadratic inequality in one?
To fill out a quadratic inequality in one, identify the coefficients of the quadratic expression, set up the inequality appropriately, and provide the necessary mathematical solution or graphical representation to indicate the solution set.
What is the purpose of quadratic inequality in one?
The purpose of a quadratic inequality in one is to determine the set of values for the variable that satisfy the inequality and to analyze the behavior of quadratic functions, which can be useful in various applications in mathematics, physics, and engineering.
What information must be reported on quadratic inequality in one?
Expected information includes the coefficients of the quadratic equation, the type of inequality (greater than, less than, etc.), and the specific range of values for the variable that satisfies the inequality.
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