A linear inequality is linear equation in which the equal sign is replaced by one of the symbols of inequality. The solution of a linear equation is a range of values, rather than one specific value.
A system of linear inequalities is like a system of linear equations, the difference is in the sign. We use the system of inequalities when we a have a word problem with number of constrains instead of one (we write an inequality for each constrain).
Creating and solving a linear inequality requires creating a linear inequality from a word problem and solving it. Note that solving a linear inequality may require changing the direction of the inequality sign.
Finding values that don’t satisfy an inequality– In these questions we need to find values that are not a solution for a linear inequality.
Graphic presentation of a linear inequality requires identifying a graphic presentation of an inequality. The answers to the inequality are represented by the area below or above the line of its equation.
Creating a system of linear inequalities- In these questions we need to create a system of linear inequalities from a word problem.
Finding possible solutions for a system of linear inequalities– In these questions we need to decide which values satisfy a given system of linear inequalities. Sometimes we will need to translate a word problem into a system of inequalities as explained before.
Solving a system of linear inequalities requires turning a system of linear inequalities to one inequality that can be solved easily. This can be achieved using additional data or by turning one of the inequalities to an equation. We may also need to translate a word problem to a system of inequalities.
Graphic presentation of a system of linear inequalities– In these questions we need to identify a graphic presentation of a system of inequalities given its formulas or to write the formulas of the system that correspond to a given graphic presentation.