Linear Inequalities Review

Front

What type of line is used when graphing an inequality with the symbols < or >?

Back

A dotted line.

Front

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

Back

If the symbol has 'or equal to' (≤ or ≥).

Front

What is the solution to the inequality y ≥ 4x – 5 for the ordered pair (1, 1)?

Back

(1, 1) is a solution because 1 ≥ 4(1) - 5 evaluates to 1 ≥ -1.

Front

Which inequality corresponds to the graph that has a shaded area above the line and a solid line?

Back

y ≥ mx + b (where m is the slope and b is the y-intercept).

Front

What does the symbol ≤ mean in an inequality?

Back

It means 'less than or equal to'.

Front

What does the symbol ≥ mean in an inequality?

Back

It means 'greater than or equal to'.

Front

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

Back

Substitute the point into the inequality and check if the statement is true.

Front

What is the graph of the inequality y ≤ 2/5x + 1?

Back

A solid line with shading below the line.

Front

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

Back

A solid line indicates that points on the line are included in the solution; a dotted line indicates they are not.

Front

If the inequality is y < -2/5x + 1, what type of line is used in the graph?

Back

A dotted line.