(b) Each integer has the property that its square is less than or equal to its cube. i. Original statement: ii. Negation: iii. Which is true and why?

Complete the two-column proof by finding the missing statement or reason for each step. Given: 3(2x - 5) = 14x +3 - 9x Prove: x = 18 Statements 1. 3(2x - 5) = 14x+ 3-9x 2.? 3. 6x15 5x+3 = 4. X-15 = 3 5. ? Reasons 1. ? 2. Distributive property 3. ? 4. ? 5. Addition property of equality

Practice Test: (a) For the following statements, write in symbolic language, negate the statement in symbolic language, determine if the statement is true or false and justify your answer with a proof or counterexample. (1) i. If the product of a rational number x and a non-zero real number y is rational, then x is zero or y is rational. ii. For any natural number n, there is a natural number s whose square equals to n. a :1 1

Please help! Also do not use any university level methods as I am 12 grade and won't understand.

14 + 15i has argument: 0

Which two consecutive integers does -75 lie between? A) 8 and 9 B) 9 and 10 C) -8 and -9 D) -9 and -10

Write the following statement as a mathematical statement. Use variable names to denote arbitrary numbers in the domain. Your statements and should be expressed using algebra. "There is no largest integer."

1. Construct Arguments Jan said that 2 is between 0 and on a number line. Do you agree? Construct an argument to explain.

HELP PLS

2.) Which expression matches the statement, "fourteen greater than negative one fourth times x" ? a.) -0.4x + 14 b.) 14+ (-0.4x) c.) -0.25x- 14 d.) 14 +(-0.25x)