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 ≤ 2/5x + 1?

Back

1. Graph the line y = 2/5x + 1 as a solid line. 2. Shade below the line to represent all points where y is less than or equal to the line.

Front

What is the solution set of an inequality?

Back

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

Front

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

Back

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

Front

What does the graph of y > -2x - 3 look like?

Back

The graph is a dashed line representing y = -2x - 3, with shading above the line.

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 (≥ or ≤), while a dashed line indicates they are not included (> or <).

Front

How do you graph the inequality y ≥ -3?

Back

1. Graph the line y = -3 as a solid line. 2. Shade above the line to represent all points where y is greater than or equal to -3.

Front

What is the significance of the y-intercept in graphing inequalities?

Back

The y-intercept is the point where the line crosses the y-axis, which helps in plotting the line accurately.