Logical Reasoning and Mathematical Concepts

What is the solution to the inequality x - 5 > 14?

If the perimeter of a triangle is 56 cm and the sides are y, y+1, and 7 cm, what is the value of y?

What is the perimeter of a triangle with sides y, y+1, and 7 cm if y = 24?

Which number is a counterexample to the statement 'All positive integers are divisible by 2 or 3'?

Which of the following numbers is divisible by both 2 and 3?

What is the conclusion of the statement 'If x^2 = 4, then x is -2 or 2'?

If a student is a high school band member, what can be concluded?

Which of the following is NOT a valid conclusion from the statement 'If a student is in the high school band, then they are a good musician'?

Which value of x disproves the statement that x^2 + x + 5 is always prime for positive x?

What property is used when concluding that if (x+2)(x+3) = 0, then x+2 = 0 or x+3 = 0?