At inequalities are mathematical expressions that use, in their formatting, the following signs of inequalities:
> (greater than)
< (less than)
≥ (greater than or equal to)
≤ (less than or equal)
≠ (different)
At 2nd degree inequalities are resolved using the Bhaskara formula. The result must be compared to the sign of inequality, in order to formulate the solution set.
1st Example
Let's solve the inequality 3x² + 10x + 7 < 0.
S = {x? R / –7/3 < x < –1}
2nd Example
Determine the solution of the inequality -2x² - x + 1 ≤ 0.
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S = {x? R / x ≤ –1 or x ≥ 1/2}
3rd Example
Determine the solution of the inequality x² - 4x ≥ 0.
S = {x? R / x ≤ 0 or x ≥ 4}
4th Example
Calculate the solution of the inequality x² - 6x + 9 > 0.
Would you like to reference this text in a school or academic work? Look:
SILVA, Marcos Noé Pedro da. "Second Degree Inequation"; Brazil School. Available in: https://brasilescola.uol.com.br/matematica/inequacao-segundo-grau.htm. Accessed on June 28, 2021.
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