7 3 study guide and intervention square root functions and inequalities answers
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Solve Quadratic Inequalities Quadratic inequalities in one variable can be solved If the inequality involves ≤ or ≥ the roots of the related equation are |
Answer Keys for Inequalities
Intervention In 11-16 solve each inequality Graph and check the To cover a rectangular region of her yard Penny needs at least 170 5 square feet of |
How are quadratic inequalities different from quadratic equations?
The difference between a quadratic equation and a quadratic inequality is that the quadratic equation is equal to some number while quadratic inequality is either less than or greater than some number.
Some examples of quadratic inequalities in one variable are: x2 + x - 1 > 0. 2x2 - 5x - 2 > 0.A Quadratic Inequality
So, instead of seeing an equals sign, you will see these inequality symbols.
All quadratic inequalities are of the form ax^2 + bx + c, where a, b, and c are numbers.
The numbers b and c can be 0, but a must equal a number.
It cannot be 0.
How do you solve an inequality that is squared?
We can solve quadratic inequalities graphically by first rewriting the inequality in standard form, with zero on one side.
Graph the quadratic function and determine where it is above or below the x-axis.
If the inequality involves “less than,” then determine the x-values where the function is below the x-axis.
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To eliminate the radical, raise each side of the equation to a power equal to Solve Radical Inequalities A radical inequality is an inequality that has a variable |
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