Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What inequality represents this interval?\newline(3,5](-3, 5]\newlineChoices:\newline(A) -3 \leq x < 5\newline(B) 3x5-3 \leq x \leq 5\newline(C) -3 < x < 5\newline(D) -3 < x \leq 5

Full solution

Q. What inequality represents this interval?\newline(3,5](-3, 5]\newlineChoices:\newline(A) 3x<5-3 \leq x < 5\newline(B) 3x5-3 \leq x \leq 5\newline(C) 3<x<5-3 < x < 5\newline(D) 3<x5-3 < x \leq 5
  1. Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval is (3,5](-3, 5], which means 3-3 is not included (denoted by the parenthesis), and 55 is included (denoted by the bracket).
  2. Translate to Inequality: Translate the interval into an inequality. Since 3-3 is not included, the inequality must use a less than symbol for the lower bound. Since 55 is included, the inequality must use a less than or equal to symbol for the upper bound.
  3. Write Correct Inequality: Write the inequality using the correct symbols. The inequality that represents the interval 3,5] -3, 5] is -3 < x \leq 5 .

More problems from Interval notation