Linear Inequalities Flashcard Review

Front

What type of line is used for inequalities with < or >?

Back

Dashed line.

Front

What type of line is used for inequalities with ≤ or ≥?

Back

Solid line.

Front

What does the inequality y ≥ -x + 1 represent graphically?

Back

A region above and including the line y = -x + 1.

Front

Is the point (3, 1) a solution for the inequality y ≥ -x + 1?

Back

No, because it is located on the line and the line is dashed.

Front

What does it mean to 'flip the sign' in an inequality?

Back

It means to reverse the inequality symbol when multiplying or dividing by a negative number.

Front

What is the solution set of the inequality y < -rac{5}{4}x + 3?

Back

The region below the line y = -rac{5}{4}x + 3.

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 significance of a dotted line in graphing inequalities?

Back

It indicates that points on the line are not included in the solution set.

Front

What is the solution to the inequality 2x - 3y ≥ 12?

Back

The region above and including the line represented by the equation 2x - 3y = 12.

Front

Which ordered pair is NOT a solution to y ≥ -x + 1?

Back

(-4, 4) is not a solution.