1.7k views
5 votes
Determine whether each value of x is a solution of the inequality x^2 - 5 < 0. Which of the following values of x satisfy the inequality?

A) x = 0
B) x = 5
C) x = -9

User Drewster
by
7.9k points

1 Answer

3 votes

Final answer:

Only the value x = 0 satisfies the inequality x^2 - 5 < 0. Substituting the given values into the inequality shows that x = 5 and x = -9 do not satisfy the condition.

Step-by-step explanation:

To determine whether each given value of x is a solution to the inequality x2 - 5 < 0, we substitute each value into the inequality:

  • A) For x = 0, the inequality becomes 02 - 5 < 0 which simplifies to -5 < 0. This is true, so x = 0 satisfies the inequality.
  • B) For x = 5, the inequality becomes 52 - 5 < 0 which simplifies to 25 - 5 < 0. This is not true, so x = 5 does not satisfy the inequality.
  • C) For x = -9, the inequality becomes (-9)2 - 5 < 0 which simplifies to 81 - 5 < 0. This is not true, so x = -9 does not satisfy the inequality.

Therefore, the only value from the options given that satisfies the inequality x2 - 5 < 0 is A) x = 0.

User El Kopyto
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories