Systems of Linear Inequalities

Front

What symbols indicate a solid line when graphing an inequality?

Back

≤, ≥

Front

What symbols indicate a dotted line when graphing an inequality?

Back

<, >

Front

Rewrite the inequality 10X + 2y ≤ 14 in slope-intercept form.

Back

y ≤ -5x + 7

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if it satisfies all, it's a solution.

Front

What does the solution set of a system of linear inequalities represent?

Back

The region on the graph where all inequalities overlap.

Front

What is the graphical representation of the inequality y < 2x - 4?

Back

A region below the line y = 2x - 4, with a dotted line.

Front

How do you graph the inequality y ≥ 2?

Back

Draw a solid horizontal line at y = 2 and shade above it.

Front

What is the significance of the boundary line in a linear inequality?

Back

It separates the solution region from the non-solution region.

Front

What does it mean if a system of inequalities has no solution?

Back

The graphs of the inequalities do not overlap at any point.