4.4 to 4.5 Test Review

Front

What is an ordered pair in the context of inequalities?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane, where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.

Front

What does the inequality y > x + 1 represent graphically?

Back

It represents the region above the line y = x + 1, where the line itself is not included.

Front

How do you determine if an ordered pair is a solution to an inequality?

Back

Substitute the x and y values of the ordered pair into the inequality. If the inequality holds true, then it is a solution.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables, and the solution is the region where all inequalities overlap.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or equal to the number.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to. The latter includes the boundary value.

Front

How do you graph the inequality y < -x - 1?

Back

Graph the line y = -x - 1 as a dashed line (not including the line) and shade the area below the line.

Front

What does the inequality y ≥ x + 4 indicate about the graph?

Back

It indicates that the region above and including the line y = x + 4 is part of the solution.

Front

What is the significance of a dashed line in graphing inequalities?

Back

A dashed line indicates that points on the line are not included in the solution set for '>' or '<' inequalities.

Front

What does the inequality y < -2 represent?

Back

It represents the region below the horizontal line y = -2, where the line itself is not included.