7.1.4 Solve Inequalities in One Variable
To solve linear inequalities in one variable, use inverse operation to make the variable as the subject of the inequality.
Example:
Solve the following linear inequalities.
(a) 3−2x<1(b) 5−2x3≤7
Solution:
(a)
3−2x<13−2x−3<1−3 −2x<−2 2x>2 2x2>22 x>1
(b)
3−2x<13−2x−3<1−3 −2x<−2 2x>2 2x2>22 x>1
(b)
7.1.5 Simultaneous Linear Inequalities in One Variable
1. The common values of two simultaneous inequalities are values which satisfy both linear inequalities.

The common values of the simultaneous linear inequalities x ≤ 3 and x > –1 is –1 < x ≤ 3.
2. To solve two simultaneous linear inequalities is to find a single equivalent inequality which satisfies both inequalities.