Inequality Worksheets

Solve the inequality: 3x + 5 > 17

• x = 4

• x > 4

• x > 17

• x < 4

Solve the inequality: 4a + 7 ≥ 31

• a > 6

• a ≤ 6

• a ≥ 6

• a = 6

Graph the inequality on a number line: b ≤ 5

• Draw a closed circle at 5 and shade to the left.

• Draw a closed circle at 5 and shade to the left and right.

• Draw an open circle at 5 and shade to the right.

• Draw a closed circle at 5 and shade to the right.

Solve the inequality: 2c + 9 < 25

• c < 8

• c = 8

• c > 8

• c < 5

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride.

Which inequality could be used to determine how many rides you would need to go on before it would become cheaper to go to the Frederick fair?

• 15x + 2.5 < 10x + 3

• 15 + 2.5x > 10 + 3x

• 15 + 2.5x < 10 + 3x

• 15 - 10 ≥ 2.5x + 3x

Solve the inequality: 3d - 6 ≥ 15

• d ≥ 7

• d = 7

• d > 10

• d ≤ 7

Solve the inequality
2 ≥ y - 12

• y ≤ 14

• y > 14

• y < 10

• y ≤ 10

Graph the inequality on a number line: y < -3

• Draw a closed circle at -3 and shade to the right.

• Draw an open circle at -3 and shade to the left.

• Draw an open circle at -3 and shade to the right.

• Draw a closed circle at -3 and shade to the left.

Graph the inequality on a number line: a ≥ 2

• Open circle at 2, shade to the left

• Closed circle at 2, shade to the left

• Closed circle at 2, shade to the right

• Open circle at 2, shade to the right

Which inequality is represented by the following graph:

• x < -8

• x > -8

• x ≥ -8

• x ≤ -8