Basic Properties of Linear Inequalities

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• X < 5
• X > 5
• X ≥ 5
• X ≤ 5

• >

• <

Which symbol should be used so that the statement becomes true?

if x > y, then (-5)x _______ (-5)y.

• >

• <

Which inequality sign should be in the red box?

Which inequality sign should be in the red box?

Choose the correct symbol (>, <, =, ≤, ≥) to make the following statements true.

x < 4 ⇔ x + 5 . . . . . . 9

Choose the correct symbol (>, <, =, ≤, ≥) to make the following statements true.

x ≤ 8 ⇔ 3x . . . . . . 24