Inequalities

Write the word sentence as an inequality.

A number t is less than or equal to 5.

• t ≤ 5

• t < 5

• t > 5

• t ≥ 5

Write as an inequality:

A number g subtracted from 6 is no more than 3/4.

• 6 - g ≤ 3/4

• g - 6 ≤ 3/4

• 6 + g ≤ 3/4

• 6 - g ≥ 3/4

Tell whether the given value is a solution of the inequality.

r - 3 ≤ 9; r = 8

• yes

• no

Tell whether the given value is a solution of the inequality.

4h > -12; h = -5

• Yes

• No

Hiw do you graph this inequality on the number line?

s ≥ 3/4

• Closed circle at 3/4, shade to the right.

• Open circle at 3/4, shade to the right.

• Closed circle at 3/4, shade to the left.

• Open circle at 3/4, shade to the left.

Match the inequalities with their correct graph representation on a number line.

• p < 9

• Open circle at 9, shade to the left.

• p ≤ 9

• Closed circle at 9, shade to the left.

• p ≥ 9

• Closed circle at 9, shade to the right.

• p > 9

• Open circle at 9, shade to the right.

Match the following inequalities with the correct description of the number of games on your smartphone.

• At least 30 games

• g = 30 (where g is the number of games)

• Exactly 30 games

• g ≤ 30 (where g is the number of games)

• More than 30 games

• g ≥ 30 (where g is the number of games)

• At most 30 games

• g > 30 (where g is the number of games)

The solution to the inequality t - 4 < -4 is t (a)  

• x ≥ -22
• x ≤ -22
• x ≥ 22
• x ≤ 22

Solve the inequality. Graph the solution. 4. -9 ≥ 2 + d (Graph your solution on the number line below.)

(a)  

Solve the inequality.

j + 5/12 < -3/4

(a)