Solutions of an Inequality

Translate the word sentence into an inequality
a number, t, divided by 80 is at most 5.25

• t ÷ 80 ≥ 5.25

• t ÷ 80 ≤ 5.25

• t ÷ 80 > 5.25

• t ÷ 80 < 5.25

On Friday Fun Day, Mrs. Burns must divide her class into 4 groups with at least 6 students in each group. Write an inequality to find the number, s, of students in class.

• s ÷ 4 ≥ 6

• s ÷ 4 ≤ 6

• s ÷ 6 ≥ 4

• s ÷ 6 ≤ 4

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

Solve the inequality: 2c + 9 < 25

• c < 8

• c = 8

• c > 8

• c < 5

Solve the inequality: 3d - 6 ≥ 15

• d ≥ 7

• d = 7

• d > 10

• d ≤ 7

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

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.

Which inequality is represented by the following graph:

• x < -8

• x > -8

• x ≥ -8

• x ≤ -8