Question

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

Answer 1

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.