Systems of Linear Inequalities Review (1-29)

Front

What does it mean to graph an inequality with a solid line?

Back

A solid line indicates that the points on the line are included in the solution set, which occurs when using the symbols ≥ or ≤.

Front

What does it mean to graph an inequality with a dotted line?

Back

A dotted line indicates that the points on the line are not included in the solution set, which occurs when using the symbols > or <.

Front

When graphing the inequality y > 2x - 1, which direction do you shade?

Back

You shade above the line because the inequality symbol is 'greater than'.

Front

How do you write an inequality for a given graph that shows a range of x values?

Back

You express it in the form of 'a ≤ x ≤ b', where 'a' and 'b' are the boundaries shown on the graph.

Front

What is the solution set of the inequality y ≤ 2x - 1?

Back

The solution set includes all points (x, y) that lie on or below the line y = 2x - 1.

Front

What is the significance of the intersection of two inequalities in a system?

Back

The intersection represents the set of solutions that satisfy both inequalities simultaneously.

Front

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

Back

Substitute the coordinates of the point into each inequality; if it satisfies all inequalities, it is a solution.

Front

What is the graphical representation of the system y ≤ 2x - 1 and y > -2x + 3?

Back

The solution region is where the area below the line y = 2x - 1 intersects with the area above the line y = -2x + 3.

Front

What is the first step in graphing a linear inequality?

Back

The first step is to graph the corresponding linear equation as if it were an equality.

Front

What does the symbol '≥' indicate in an inequality?

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.