Systems of Linear Inequalities

Front

What type of line is used when graphing the inequalities x < 3 and x > 3?

Back

Dotted line

Front

What type of line is used when graphing the inequalities x ≤ -1 and x ≥ -1?

Back

Solid line

Front

What does the inequality x < 3 represent on a number line?

Back

All numbers less than 3.

Front

What does the inequality y < -1 represent on a graph?

Back

All points below the line y = -1.

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 is the solution set for the inequality x > -1?

Back

All numbers greater than -1.

Front

What does the symbol ≤ mean in an inequality?

Back

Less than or equal to.

Front

What does the symbol ≥ mean in an inequality?

Back

Greater than or equal to.

Front

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

Back

Graph the line y = 2x + 1 with a dotted line and shade below it.

Front

What is the difference between a solid line and a dotted line in graphing inequalities?

Back

Solid line includes the boundary (≤ or ≥), dotted line does not (< or >).