Graphing Inequalities in ACT Practice Test

What is the initial inequality given in the problem?

• x + y < 1

• 1 < x + y < 2

• x + y > 2

• 1 < x - y < 2

How do you rearrange the inequality to solve for y?

• Add x to all parts

• Divide all parts by x

• Subtract x from all parts

• Multiply all parts by x

What does the slope of -1 indicate about the line's direction?

• It is vertical

• It is horizontal

• It falls as it moves right

• It rises as it moves right

Why is the line in the graph dashed?

• Y is strictly greater than the line

• Y is equal to the line

• Y is less than or equal to the line

• The line represents an undefined slope

What does the y-intercept of 1 signify in the graph?

• The line is parallel to the y-axis

• The line crosses the y-axis at y = 1

• The line has a slope of 1

• The line crosses the x-axis at x = 1

What does the inequality y < -x + 2 represent in the graph?

• Region above the line

• Region below the line

• Region on the line

• Region to the right of the line

How do the two parts of the inequality combine to form the solution?

• Union of regions above and below the lines

• Strip between the two lines

• Intersection of regions below both lines

• Intersection of regions above both lines

Which graph correctly represents the solution to the inequality?

• Graph K

• Graph J

• Graph L

• Graph M

What is the significance of the slope being negative in the graph?

• The line is vertical

• The line is horizontal

• The line falls from left to right

• The line rises from left to right

Why is the region between the two lines the solution?

• It only satisfies the first inequality

• It does not satisfy either inequality

• It satisfies both inequalities

• It only satisfies the second inequality