Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, y ≥ 2 means y is any number that is 2 or greater.

Tags

CCSS.6.EE.B.8

Front

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

Back

To graph y > 2x - 5, first graph the line y = 2x - 5 as a dashed line (not including the line), then shade the area above the line.

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

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if a point is part of the solution set for an inequality?

Back

To determine if a point is part of the solution set, substitute the point's coordinates into the inequality. If the inequality holds true, the point is included.

Front

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

Back

The inequality y ≥ -3 represents all points on or above the horizontal line y = -3.

Tags

CCSS.HSA.REI.D.12

Front

Which of the following points is NOT part of the solution set for y > 2x - 5: (0, 0), (3, 5), (1, 1), (0, -2)?

Back

(0, -2) is NOT part of the solution set for y > 2x - 5.

Front

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

Back

To graph y < -2x - 3, first graph the line y = -2x - 3 as a dashed line, then shade the area below the line.

Tags

CCSS.HSA.REI.D.12

Front

What is the solution set of the inequality x < -5?

Back

The solution set of x < -5 includes all real numbers less than -5.