Understanding Linear Inequalities and Their Applications

What does the inequality a < b signify in the context of linear inequalities?

• a is strictly less than b

• a is equal to b

• a is greater than b

• a is less than or equal to b

Which of the following is true when solving the inequality a < b and adding the same number c to both sides?

• The inequality remains the same

• The inequality sign flips

• The inequality becomes an equation

• The inequality becomes a strict inequality

How is the inequality -9 < 5 ≤ 6 expressed in interval notation?

• (-9, 6]

• [-9, 6)

• (-9, 6)

• [-9, 6]

In the word problem involving Keith's withdrawals, what does the term 'at least' indicate?

• A 'greater than or equal to' relationship

• A 'less than' relationship

• An 'equal to' relationship

• A 'less than or equal to' relationship

If Erica has at most $10 to spend on a taxi ride, which inequality represents the maximum distance she can travel if the taxi charges a $1.75 flat rate plus $0.65 per mile?

• 0.65m + 1.75 ≤ 10

• 0.65m + 1.75 ≥ 10

• 0.65m + 1.75 < 10

• 0.65m + 1.75 > 10