(1) that the reverse triangle inequality holds for all real numbers. (HINT: Write a as a - b+ b. Then apply the triangle inequality.)

solve the inequality for u. 15-2u is less than or equal to 25

If a is a nonnegative real number, then which inequality statement best describes a?(a) a < 0 (b) a > 0 (c) a ≤ 0 (d) a ≥ 0

Consider the inequality ax² + bx + c > 0, where a, b, and c are real numbers with a 0. Suppose the associated equal- ity ax? + bx + c = 0 has discriminant D. Categorize the so- lutions of the inequality according to the signs of a and D.