Text Messaging Inequalities and Relationships

The video tutorial explains a family's texting plan with a 500-text limit. It compares the number of texts sent by J.T. and his family members, defines variables for each, and expresses these in terms of J.T.'s texts. The tutorial then solves an inequality to determine the maximum number of texts J.T. could send without exceeding the limit.

What is the maximum number of text messages J.T.'s family can send in a month?

• 700

• 400

• 500

• 600

How many more texts did J.T. send compared to his older sister?

• 15

• 45

• 25

• 35

Which family member sent 50 more texts than J.T.?

• Older sister

• Younger sister

• Mother

• Father

What variable is used to represent the number of texts sent by J.T.'s mother?

• m

• y

• o

• j

If J.T. sent 25 more texts than his older sister, how can we express the older sister's texts in terms of J.T.'s texts?

• j + 50

• j - 50

• j - 25

• j + 25

How can we express the younger sister's texts in terms of J.T.'s texts?

• j + 25

• j - 50

• j - 25

• j + 50

What is the equation for the total number of texts sent by the family?

• 4j + 100 ≥ 500

• 4j + 100 ≤ 500

• 4j - 100 ≤ 500

• 4j - 100 ≥ 500

What is the maximum number of texts J.T. could have sent?

• 150

• 125

• 100

• 175

What operation is performed to isolate j in the inequality 4j - 100 ≤ 500?

• Add 100

• Multiply by 4

• Subtract 100

• Divide by 4

After solving the inequality, what is the final step to find the value of j?

• Add 4

• Subtract 4

• Multiply by 4

• Divide by 4