Formative 7b

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

What does the symbol '≤' represent in inequalities?

Back

'≤' means 'less than or equal to'. It indicates that the value can be less than or equal to a certain number.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than'. It indicates that the value must be strictly greater than a certain number.

Front

How do you graph the inequality y < 3x + 2?

Back

1. Graph the line y = 3x + 2 with a dashed line (since it's <). 2. Shade below the line to represent all points where y is less than 3x + 2.

Front

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

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dashed line indicates that the points on the line are not included (> or <).

Front

How do you determine the solution set for a system of inequalities?

Back

The solution set is the region where the shaded areas of all inequalities overlap on the graph.

Front

What does the inequality y ≤ -2x + 4 represent graphically?

Back

It represents a line with a slope of -2 and a y-intercept of 4, with the area below and including the line shaded.

Front

What is the significance of the y-intercept in a linear inequality?

Back

The y-intercept is the point where the line crosses the y-axis. It helps in graphing the inequality and understanding its position.

Front

How do you write the inequality for a graph that is above the line y = 2x - 3?

Back

The inequality is y > 2x - 3, indicating that the solution set includes all points above the line.

Front

What does the inequality x > 2 mean in terms of a number line?

Back

It means that all numbers to the right of 2 on the number line are included in the solution set, but not 2 itself.