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Grade 11 Math: Inequality Symbols

A worksheet for Grade 11 students to practice understanding and applying inequality symbols in various mathematical contexts.

Grade 11 Math AlgebraInequality Symbols
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3CCSS.MATH.CONTENT.HSA.REI.D.12

Topics

mathalgebrainequalitiesgrade 11
7 sections · Free to use · Printable
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Grade 11 Math: Inequality Symbols

Name:

Date:

Score:

Read each question carefully and follow the instructions to solve the problems. Show all your work for full credit.

1. Which inequality represents the statement: 'The product of a number x and 5 is greater than or equal to 20'?

a

5x > 20

b

5x < 20

c

5x ≥ 20

d

5x ≤ 20

2. Which of the following graphs represents the inequality x < -3?

a
-5-3-1135
b
-5-3-1135
c
-5-3-1135
d
-5-3-1135

3. The symbol '≤' means  .

4. When multiplying or dividing an inequality by a negative number, you must   the inequality sign.

5. Solve the inequality and graph the solution on a number line: 3x - 7 > 8

05101520

6. Write an inequality to represent the following situation: 'The maximum capacity of the elevator is 1500 pounds.' Let 'w' be the total weight.

7. The solution to -2x < 6 is x < -3.

T

True

F

False

8. The interval notation for x ≥ 4 is (4, ∞).

T

True

F

False

Match the inequality symbol with its meaning.

9. >

 

a. Less than or equal to

10. ≤

 

b. Greater than

11. ≠

 

c. Not equal to

12. <

 

d. Less than