O English Worksheet
Por: Rafaella Britto • 5/9/2022 • Artigo • 2.101 Palavras (9 Páginas) • 60 Visualizações
Quadratic Inequalities
1. Solve these quadratic inequalities:
a) x2 + 7x + 10 < 0 b) x2 + 8x + 15 < 0
c) x2 – 11x + 18 > 0 d) x2 – 5x + 6 < 0
e) x2 – 2x – 15 ≤ 0 f) x2 + x – 12 > 0
g) x2 – 4x – 12 > 0 h) x2 + x – 42 ≤0
i) x2 – 49 < 0 j) x2 – 121 ≥ 0
2. Solve these quadratic inequalities. [Hint: Get all the terms on one side and zero on the other.]
a) x2 + 7x < -12 b) x2 – 10 > 3x
c) x2 ≥ 12x – 27 d) x2 + 24 < 10x
e) x2 + 5 < 8x – 10 f) 3(x2 + 7) ≥ 2x(x + 5)
3. Solve these quadratic inequalities.
a) 2x2 + 5x + 2 < 0 b) 5x2 + 15x + 10 > 0
c) 2x2 + x – 3 < 0 d) 3x2 + 2x – 1 ≥ 0
e) 2x2 + 3x – 5 ≤ 0 f) 3x2 + 5x – 12 > 0
g) 4x2 – 6x – 18 < 0 h) 6x2 + 9x – 15 ≥ 0
4. Solve these harder quadratic inequalities.
a) 3x2 + 3x ≥ 6 b) 2x2 – 6 > 4x
c) 2x2 > 4 + 2x d) 24x2 + 2 < 19x
e) 3 – 4x > x(5 – 6x) f) 3x(x – 2) ≤ 2x + 3
[pic 1]
5. These ones don’t factorise!
a) x2 + 6x + 7 < 0 b) x2 + 2x – 5 ≤ 0
c) x2 + 8x + 9 ≥ 0 d) 2x2 + 4x – 8 < 0
Answers
1. a) -5 < x < -2 b) -5 < x < -3
c) x < 2, x > 9 d) 2 < x < 3
e) -3 ≤ x ≤ 5 f) x < -4, x > 3
g) x < -2, x > 6 h) -7 ≤ x ≤ 6
i) -7 < x < 7 j) x ≤ -11, x ≥ 11
2. a) -4 < x < -3 b) x < -2, x > 5
c) x ≤ 3, x ≥ 9 d) 4 < x < 6
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