Inequality and Sets

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}

Determine if these two sets are equal or equivalent.

• Not equal because seat has 4 letters and taste has 5 letters.

• Equivalent because they have the same letters

• Equal because each set has the same cardinality and the same letters.

If every element in set A is also in set B, then...

• A is a subset of B

• B is a subset of A

• A = B

• A and B are disjoint

Which inequality is represented by the  following graph

• x < -8

• x > -8

• x ≥ -8

• x ≤ -8

Lily and Caleb are in disagreement about this inequality's solution set. Lily says that the number 5 would be a part of the solution set, while Caleb says it isn't be. Who is right?

• Caleb

• Lily

• Not enough information

Grace has less than $45 in her purse.

Which inequality represents the money in her purse?

• g < 45

• g > 45

• g ≤ 45

• g ≥ 45

Points on a dashed/dotted line ARE NOT part of the solution set.

• True

• False

A bog contains 50 nickels, x and quarters, y.

Which of the following represents solution sets for the number of possible nickels and quarters in the bag?

Select all that apply

• (10.5, 39.5)

• (31, 19)

• (-21, 71)

• (15, 35)

• (12, 40)

Which inequality is represented by the  following graph

• x > 9

• x < 9

• x ≥ 9

• x ≤ 9

Write the word sentence as an inequality
a number b is at least -16

• b ≥ -16

• b ≤ -16

• b = -16

• b > -16

Write the word sentence as an inequality
6 times a number x is at most 47

• 6x > 47

• 6x ≥ 47

• 6x < 47

• 6x ≤ 47