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?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you graph the inequality y > 2?

Back

Graph the line y = 2 as a dashed line and shade the area above the line.

Front

How do you graph the inequality y ≤ -3x + 4?

Back

Graph the line y = -3x + 4 as a solid line and shade the area below the line.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all points that satisfy the inequality.

Front

How can you determine if a point is in the solution set of an inequality?

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is in the solution set.

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 <).

Front

What does the graph of y < -x - 5 look like?

Back

The graph is a dashed line with a slope of -1 and a y-intercept of -5, shading below the line.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.