Graphing Inequalities Practice

Front

What does a solid line indicate when graphing an inequality?

Back

A solid line indicates that the inequality includes 'or equal to' (≥ or ≤).

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 that points on the line are not included (> or <).

Front

How do you determine the correct inequality from a graph?

Back

Identify the slope and y-intercept of the line, and check which side of the line is shaded to determine the inequality symbol.

Front

What does the inequality y < -4x - 1 represent graphically?

Back

It represents a region below the line with slope -4 and y-intercept -1.

Front

How can you tell if an inequality is greater than or less than from a graph?

Back

If the shaded region is above the line, the inequality is greater than (>) or greater than or equal to (≥). If it is below, it is less than (<) or less than or equal to (≤).

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.

Front

How do you graph the inequality y > 1/2x + 2?

Back

Graph the line y = 1/2x + 2 with a dashed line and shade the region above the line.

Front

What does the inequality x < -1 represent on a number line?

Back

It represents all values to the left of -1, not including -1 itself.

Front

How do you write an inequality for a line with a slope of -5/4 and a y-intercept of 3?

Back

The inequality can be written as y ≥ -5/4x + 3 if the line is solid, or y > -5/4x + 3 if the line is dashed.

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, and it helps to determine the starting point for graphing.