©G Dear2008 – Not to be sold/Free to use Mathematic (Preliminary) Equations Inequations Stage 6 - Year 12 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use

Equations < > ≤ ≥ Inequations Inequations, (except for x and ÷ by negative numbers), is similar to equations. Symbols < > means less than means greater than ≤ ≥ means less than or equal to means greater than or equal to

These can all be graphed on the number line. Equations Inequations Rule Do the same (opposite) operations to both sides of the inequation. Example 1 x + 7 ≤ 11 Example 2 m - 2 > 5 Example 3 3b < 15 Example 4 k ÷ 4 ≥ 3 -7 +2 ÷3 x4 x ≤ 4 m > 7 b < 5 k ≥ 12 These can all be graphed on the number line. 4 7 5 12 Solid circle for equal Solid circle for equal Open circle for not equal Open circle for not equal

Equations Inequations When x and ÷ by negative numbers, change the direction of the inequality sign Examples x -3 2. ≥ -2 __ 1. -3x < 27 x(-3) ÷(-3) x > -9 x ≤ 6