Solving Inequalities Using Substitution

How many solutions can an inequality have?

• 0

• 1

• Infinitely many

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Is x = 12 a given solution to the inequality.
x > 5

• TRUE
• FALSE

Tags

CCSS.6.EE.B.5

Is x = 9 a solution to the given inequality.
x > 9

• TRUE
• FALSE

Tags

CCSS.6.EE.B.5

Is 8 a solution for the inequality:

x + 5 ≤ 13

• No

• Yes

Tags

CCSS.6.EE.B.5

Is 4 a solution to

4x + 1 > 13

• Yes

• No

Tags

CCSS.6.EE.B.5

Which value is a solution for the inequality:
 $2x+6>12$  

• 3

• 4

Answer explanation

4 is a solution, 3 is NOT a solution

2(4) + 6 > 12
8 + 6 > 12
14 > 12
TRUE

2(3) + 6 > 12
6 + 6 > 12
12 is not > 12
FALSE

Tags

CCSS.6.EE.B.5

Which values from the set {1, 2, 3, 4 } are solutions for this inequality:

x + 5 > 7

• 1, 2

• 3, 4

• 1, 2, 3

• 2, 3, 4

Answer explanation

Only 3 and 4 are solutions.

1 + 5 = 6 and 6 is not greater than 7

2 + 5 = 7 and 7 is not greater than 7

3 + 5 = 8 and 8 > 7

4 + 5 = 9 and 9 > 7

Tags

CCSS.6.EE.B.5

Which TWO values of k make the inequality 3k – 3 > 27 true?

• 9

• 10

• 11

• 12

Tags

CCSS.6.EE.B.5