Graphing Linear Inequalities

Front

What does a solid line represent in graphing linear inequalities?

Back

A solid line represents that the inequality includes the boundary line, indicated by the symbol '≥' or '≤'.

Front

What does a dashed line represent in graphing linear inequalities?

Back

A dashed line indicates that the inequality does not include the boundary line, represented by the symbols '>' or '<'.

Front

How can you tell if an inequality will have a solid line?

Back

The inequality symbol has 'or equal to' (≥ or ≤).

Front

What is the inequality for a line with a slope of -3/4 and a y-intercept of 3 that includes the line?

Back

y ≥ -3/4 x + 3.

Front

What is the inequality for a line with a slope of -3/4 and a y-intercept of 3 that does not include the line?

Back

y < -3/4 x + 3.

Front

What type of line does the inequality y < 6x + 1 have?

Back

Dashed line.

Front

What type of line does the inequality y ≥ 5 have?

Back

Solid line.

Front

What is the first step in graphing a linear inequality?

Back

Graph the corresponding linear equation as if it were an equality.

Front

What do you do after graphing the line for a linear inequality?

Back

Determine whether to shade above or below the line based on the inequality symbol.

Front

If the inequality is y > 2x + 1, where do you shade?

Back

Shade above the line.