Understanding Systems of Inequalities

What type of line is used to graph the inequality x ≤ -3?

• Dashed line

• Dotted line

• Solid line

• Curved line

When graphing 5x + 3y ≥ -9, which form is preferred for graphing?

• Vertex form

• Point-slope form

• Slope-intercept form

• Standard form

What happens to the inequality sign when dividing by a negative number?

• It flips direction

• It disappears

• It becomes an equal sign

• It stays the same

In the inequality 4x - 3y < 9, what is the slope of the line when rewritten in slope-intercept form?

• -3/4

• 3/4

• 4/3

• -4/3

For the inequality x + y > 2, what is the y-intercept when rewritten in slope-intercept form?

• 0

• -2

• 1

• 2

What type of line is used to graph the inequality 2x - y > 1?

• Dotted line

• Curved line

• Dashed line

• Solid line

In the inequality x + y ≥ 2, what is the slope of the line when rewritten in slope-intercept form?

• 0

• -1

• 2

• 1

For the inequality 4x + y ≥ -1, what is the y-intercept when rewritten in slope-intercept form?

• 2

• -1

• 0

• 1

What is the solution region for a system of inequalities?

• The area where all lines intersect

• The area where the shaded regions overlap

• The area outside all shaded regions

• The area under the x-axis

What is the significance of using a test point in graphing inequalities?

• To calculate the x-intercept

• To find the slope

• To decide which side of the line to shade

• To determine the y-intercept