Algebra Systems of Linear Inequalities

Front

What type of line is used when graphing the inequalities x < 3 or y > 2?

Back

A dotted line.

Front

What does a solid line indicate when graphing an inequality?

Back

The inequality includes equal to (≤ or ≥).

Front

Is the point (1, 2) a solution to the inequality y < 3?

Back

Yes, because 2 < 3.

Front

What symbols indicate a solid line when graphing inequalities?

Back

≤ and ≥.

Front

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

Back

All points (x, y) that satisfy y is less than or equal to 2x - 1.

Front

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

Back

Substitute the point into each inequality and check if all are satisfied.

Front

What is the graphical representation of the inequality y > -2x + 3?

Back

The area above the line y = -2x + 3, not including the line.

Front

What does the symbol '>' mean in an inequality?

Back

It means greater than, not including the boundary.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation has an equal sign, while a linear inequality has inequality symbols.

Front

How do you graph the inequality y ≤ 2x + 4?

Back

Graph the line y = 2x + 4 as a solid line and shade below it.