#2.8A
understand and use the symbols >,<, ⩾ and ⩽
To include double-ended inequalities
e.g. \(1 < x \leq 5\)
#2.8B
understand and use the convention for open and closed intervals on a number line
#2.8C
solve simple linear inequalities in one variable and represent the solution set on a number line
\(3x - 2 < 10\), so \(x < 4\)
\(7 - x \leq 5\), so \(x \leq 2\)
\(3 < x + 2 \leq 5\), so \(1 < x \leq 3\)
#2.8D
represent simple linear inequalities on rectangular Cartesian graphs
Shade the region defined by the inequalities \(x \geq 0\), \(y \geq 1\), \(x + y \leq 5\)
#2.8E
identify regions on rectangular Cartesian graphs defined by simple linear inequalities
Conventions for the inclusion of boundaries are not required
#2.8F
solve quadratic inequalities in one unknown and represent the solution set on a number line
\(x^2 \leq 25\)
\(4x^2 > 25\)
\(x^2 + 3x + 2 > 0 \)
#2.8G
identify harder examples of regions defined by linear inequalities
Shade the region defined by the inequalities \(~x \leq 4\), \(y \leq 2x + 1\), \(5x + 2y \leq 20\)