A1.REI.C Unit 5a CFA#3

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (such as <, >, ≤, or ≥). It represents a region of the coordinate plane.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Then, use a dashed line for < or > and a solid line for ≤ or ≥. Finally, shade the region that satisfies the inequality.

Front

What does the symbol '<' mean in a linear inequality?

Back

The symbol '<' means 'less than'. It indicates that the values of the expression on the left side are less than the value on the right side.

Front

What does the symbol '>' mean in a linear inequality?

Back

The symbol '>' means 'greater than'. It indicates that the values of the expression on the left side are greater than the value on the right side.

Front

What is the solution set of a linear inequality?

Back

The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality. It is represented graphically as a shaded region on the coordinate plane.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you determine if a point is a solution to a system of equations?

Back

To determine if a point is a solution to a system of equations, substitute the x and y values of the point into each equation. If the point satisfies all equations, it is a solution.

Front

What does the symbol '≤' mean in a linear inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the values of the expression on the left side can be less than or equal to the value on the right side.

Front

What does the symbol '≥' mean in a linear inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the values of the expression on the left side can be greater than or equal to the value on the right side.

Front

How can you find the intersection of two linear inequalities?

Back

To find the intersection of two linear inequalities, graph both inequalities on the same coordinate plane and identify the region where the shaded areas overlap.