Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which is the set of integers greater than 6-6 and less than or equal to 2-2?\newlineChoices:\newline(A) {6,4,2}\{-6, -4, -2\}\newline(B) {5,4,3,2}\{-5, -4, -3, -2\}\newline(C) {6,5,4,3,2}\{-6, -5, -4, -3, -2\}\newline(D) {5,4,3}\{-5, -4, -3\}

Full solution

Q. Which is the set of integers greater than 6-6 and less than or equal to 2-2?\newlineChoices:\newline(A) {6,4,2}\{-6, -4, -2\}\newline(B) {5,4,3,2}\{-5, -4, -3, -2\}\newline(C) {6,5,4,3,2}\{-6, -5, -4, -3, -2\}\newline(D) {5,4,3}\{-5, -4, -3\}
  1. Identify Inequality: Identify the inequality that represents the condition "greater than 6-6 and less than or equal to 2-2".\newlineInequality: -6 < x \leq -2
  2. Determine Integers: Determine the set of integers that satisfy the inequality -6 < x \leq -2. The integers greater than 6-6 are 5,4,3,2,1,0,1,2,-5, -4, -3, -2, -1, 0, 1, 2, \ldots However, we need to stop at 2-2 because the inequality states that xx must be less than or equal to 2-2.
  3. Exclude 6-6 from Set: Exclude 6-6 from the set because the inequality specifies that xx must be greater than 6-6, not equal to it.\newlineThe set of integers that satisfy the inequality is {5,4,3,2}\{-5, -4, -3, -2\}.

More problems from Set-builder notation