graph linear inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.

Front

What does the shaded region in a graph of a linear inequality represent?

Back

The shaded region represents all the possible solutions to the inequality.

Front

What does a solid line indicate in the graph of a linear inequality?

Back

A solid line indicates that the points on the line are included in the solution set (≥ or ≤).

Front

What does a dashed line indicate in the graph of a linear inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set (> or <).

Front

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

Back

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

Front

What is the solution set of the inequality y < 2x + 3?

Back

The solution set includes all points below the line y = 2x + 3.

Front

How can you graph the inequality x ≥ -1?

Back

Graph the line x = -1 as a solid line and shade to the right to indicate all values greater than or equal to -1.

Front

What is the equivalent inequality for -y < x - 8?

Back

The equivalent inequality is y > -x + 8.

Front

What does it mean if a point lies on the boundary line of a linear inequality?

Back

It means that the point is a solution if the line is solid, but not a solution if the line is dashed.

Front

How do you convert a linear inequality into slope-intercept form?

Back

Isolate y on one side of the inequality to express it in the form y = mx + b.