Module 6 Inequalities Test Review

Front

What does the inequality y ≥ -3 represent on a graph?

Back

The graph includes all points above and on the line y = -3, with a solid line indicating that -3 is included.

Front

What type of circle is used when graphing the inequality 2 > f?

Back

A closed circle is used to indicate that the value is not included in the solution.

Front

If a taxi cab costs $1.75 and $0.75 for each additional mile, how do you express the total cost as an inequality?

Back

The inequality is 0.75n + 1.75 ≤ 20, where n is the number of additional miles.

Front

What type of line is used to graph the inequality Y ≥ ?

Back

A solid line is used because the inequality includes the boundary line.

Front

How do you determine which equation matches a given graph?

Back

You compare the slope and y-intercept of the graph to the equations provided.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the boundary is included (≥ or ≤), while a dashed line indicates it is not included (> or <).

Front

What does the inequality y ≤ 2/5x + 1 indicate about the graph?

Back

The graph includes all points below and on the line y = 2/5x + 1.

Front

How do you solve the inequality 0.75n + 1.75 ≤ 20 for n?

Back

Subtract 1.75 from both sides to get 0.75n ≤ 18.25, then divide by 0.75 to find n.

Front

What is the significance of the y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you graph the inequality y > -2/5x + 1?

Back

Graph the line y = -2/5x + 1 with a dashed line and shade above the line.