Inequality Review

Front

What does an open circle represent when graphing inequalities?

Back

An open circle indicates that the number is not included in the solution set (e.g., x < 3).

Front

What does a closed circle represent when graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set (e.g., x ≤ 3).

Front

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

Back

Graph the line y = 3x - 2 with a dashed line and shade above the line.

Front

What is the solution set for the inequality x < 5?

Back

The solution set includes all numbers less than 5, represented on a number line with an open circle at 5.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is a solution.

Front

What is the difference between 'y < mx + b' and 'y ≤ mx + b'?

Back

'y < mx + b' uses a dashed line and does not include the boundary, while 'y ≤ mx + b' uses a solid line and includes the boundary.

Front

What does the inequality y ≥ -3/4x + 3 represent graphically?

Back

It represents a line with a slope of -3/4, where the area above the line is shaded, including the line itself.

Front

What is the significance of the slope in an inequality?

Back

The slope indicates the steepness of the line and the direction of the inequality (positive slope for 'greater than', negative for 'less than').

Front

How do you identify the correct inequality from a graph?

Back

Look at the shaded region and the boundary line to determine if the inequality is 'greater than' or 'less than'.

Front

What is the solution to the inequality b < 6?

Back

The solution includes all values of b that are less than 6, represented on a number line with an open circle at 6.