Directions: Transform the following mathematical sentences into quadratic
inequalities by changing or adding only one element from the given.
Solution:
The direction clearly states that you only need to transform the following mathematical sentences into quadratic inequalities. It doesnt ask to solve but only to change or add an element which is <, >, ≤, ≥ to make it become an inequality.
Answers & Comments
Directions: Transform the following mathematical sentences into quadratic
inequalities by changing or adding only one element from the given.
Solution:
The direction clearly states that you only need to transform the following mathematical sentences into quadratic inequalities. It doesnt ask to solve but only to change or add an element which is <, >, ≤, ≥ to make it become an inequality.
Problem 1:
x² + 4x - 5 = 0
x² + 4x - 5 > 0
Problem 2:
12 - 3x + x² = 0
x² - 3x + 12 > 0
Problem 3:
4t³ - 7t + 1 ≥ 0
4t³ - 7t + 1 > 0
Problem 4:
x² + 10x < x² - 3
x² + 10x ≤ x² - 3
Problem 5:
(a + 4) (a + 3) = 5
(a + 4) (a + 3) ≥ 5
a² + 7a + 12 ≥ 5
Problem 6:
15 - 2x = x²
15 - 2x < x²
x² > -2x + 15
Problem 7:
(b² - 1) (2b + 5) ≤ 0
2b³ + 5b² - 2b -5 ≤ 0
Problem 8:
g² (g + 7) > 8
g² (g + 7) < 8
g³ + 7g² < 8
Problem 9:
2h + 5 ≥ h
2h + 5 > h
Problem 10:
3m + 20 > 0
3m + 20 < 0
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