Rucete ✏ Mathematics In a Nutshell
Linear inequalities
A linear inequalities is one in which the variable's highest exponent is always 1, as well as expressions in which any two values are compared using inequality symbols such as '<', '>', '≤' or '≥'. #
e.g. 2x - 4 < 0
How to solve Linear inequalities
1. If the expression contains parentheses, you must first solve them.
2. Following that, all terms containing unknowns should be left alone, while all constant terms should be right.
3. Afterward, using the equation's properties, convert it to the form x < a.
("<" changes to ">" when dividing or multiplying by a negative number.)
Example
1. 2(x-3) < 2
2x - 6 < 2
2x < 8
x < 4
2. -3(x-3) < 2
-3x + 9 < 3
-6x < -6
x > -1