Graphing Inequalities Practice

Front

What is an inequality in mathematics?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

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

Back

The symbol '≥' means 'greater than or equal to'.

Front

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

Back

The symbol '>' means 'greater than'.

Front

How do you graph the inequality y ≥ -x + 1?

Back

To graph y ≥ -x + 1, first graph the line y = -x + 1 as a solid line (since it includes equality). Then shade the region 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 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 <).

Front

How do you determine which side of the line to shade when graphing an inequality?

Back

To determine which side to shade, pick a test point not on the line (commonly (0,0)). Substitute it into the inequality; if the inequality holds true, shade that side.

Front

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

Back

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

Front

How do you convert the inequality y > 2x - 5 into slope-intercept form?

Back

The inequality is already in slope-intercept form: y > 2x - 5, where the slope is 2 and the y-intercept is -5.

Front

What does the graph of y > -4 look like?

Back

The graph of y > -4 is a horizontal dashed line at y = -4, with the region above the line shaded.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.