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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.HSA.REI.D.12

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 <).

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.6.EE.B.8