3.3 Notes - Graphing Linear Inequalities

A point (or coordinate pair) is a solution to a linear inequality if it results in what kind of statement when plugged into the inequality?

• A false statement

• A true statement

• An undefined statement

• A conditional statement

Is the point (-4, 1) a solution for the inequality 3x - y > 8?

• Yes, because -13 is greater than 8.

• No, because -13 is not greater than 8.

• Yes, because -11 is greater than 8.

• No, because -11 is not greater than 8.

Is the point (0, 0) a solution for the inequality 3y <= 5 - 2x?

• Yes, because 0 is less than or equal to 5.

• No, because 0 is not less than or equal to 5.

• Yes, because 5 is less than or equal to 0.

• No, because 5 is not less than or equal to 0.

When graphing a linear inequality, which type of line should be used for inequalities with '<' or '>' symbols?

• A solid line

• A dashed line

• A dotted line

• A thick line

What does the shaded region on a graph of a linear inequality represent?

• The boundary line

• The y-intercept

• The solution set

• The slope

When converting a linear inequality to slope-intercept form, what action must be taken if both sides are divided by a negative number?

• Keep the inequality symbol the same

• Flip the inequality symbol

• Multiply the y-intercept by -1

• Change the slope to its reciprocal

For the inequality 3x - 4y ≥ 8, what type of line and shading are used when graphing its solution set?

• Dashed line, shade up

• Solid line, shade up

• Dashed line, shade down

• Solid line, shade down

Is the point (3, 6) a solution to the inequality x + 2y > 10?

• No, because it lies on the dashed line

• Yes, because it lies within the shaded region

• No, because it lies outside the shaded region

• No, because it makes the inequality false