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These sample problems below for Graphs to Linear Inequalities were generated by the MathScore.com engine.

## Sample Problems For Graphs to Linear Inequalities

### Complexity=1, Mode=simple

Write the inequality that represents this graph. Examples: y>3x/4, x<=2, y>=1, y>-2x
 1.   Inequality: 2.   Inequality:

### Complexity=1, Mode=y=mx+b

Write the inequality in y=mx+b format. Examples: y>2x-3, y<=-4x/3+1
 1.   Inequality: 2.   Inequality:

### Complexity=2, Mode=y=mx+b

Write the inequality in y=mx+b format. Examples: y>2x-3, y<=-4x/3+1
 1.   Inequality: 2.   Inequality:

### Complexity=1, Mode=simple

Write the inequality that represents this graph. Examples: y>3x/4, x<=2, y>=1, y>-2x
1

Inequality:
Solution
Vertical lines have undefined slope, and are expressed in the form x=[x-intercept].
The shaded region is to the right of the line, so we use a greater than sign.
The line is dashed, so use > for greater than.
x > 3
2

Inequality:
Solution
The slope is 2/1
The shaded region is above the line, so we use a greater than sign.
The line is solid, so use >= for greater than or equal to.
y >= 2x

### Complexity=1, Mode=y=mx+b

Write the inequality in y=mx+b format. Examples: y>2x-3, y<=-4x/3+1
1

Inequality:
Solution
The slope is -5/2
The y intercept is -4
The shaded region is above the line, so we use a greater than sign.
The line is solid, so use >= for greater than or equal to.
Plugging this into y=mx+b results in

2

Inequality:
Solution
The slope is 1/4
The y intercept is 1
The shaded region is above the line, so we use a greater than sign.
The line is dashed, so use > for greater than.
Plugging this into y=mx+b results in

### Complexity=2, Mode=y=mx+b

Write the inequality in y=mx+b format. Examples: y>2x-3, y<=-4x/3+1
1

Inequality:
Solution
The slope is 2/5
The y intercept is 1
The shaded region is below the line, so we use a less than sign.
The line is solid, so use <= for less than or equal to.
Plugging this into y=mx+b results in

2

Inequality:
Solution
The slope is -3/2
The y intercept is -5
The shaded region is above the line, so we use a greater than sign.
The line is solid, so use >= for greater than or equal to.
Plugging this into y=mx+b results in

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