LCHL11 - Inequalities - linear, quadratic and rational
I should be able to:
Ordinary Level
– select and use suitable strategies (graphic, numeric, algebraic, mental) for finding solutions to inequalities of the form:
• g(x) ≤ k, g(x) ≥ k, g(x) < k, g(x) > k, where g(x) = ax + b and a b, k ∈ Q KA4.3
Higher Level
– select and use suitable strategies (graphic, numeric, algebraic, mental) for finding solutions to inequalities of the form:
• g(x) ≤ k, g(x) ≥ k, g(x) < k, g(x) > k, where g(x) = ax2 + bx +c or g(x) = (ax+b)/(cx+d) and a, b, c, d, k ∈ Q, x ∈ R hl.ka.4.3.1
– use notation |x| hl.ka.4.3.2
– select and use suitable strategies (graphic, numeric, algebraic, mental) for finding solutions to inequalities of the form:
|x – a | < b, |x – a | > b and combinations of these, where a, b ∈ Q, x ∈ R hl.ka.4.3.2