Question

Which of the following values are solutions to the inequality 5x – 10 < -5?

I. - 1
II. 9
III.1
None
O I only
O II only
O III only
O I and II
O I and III
O II and III
O I, II and III

Answer 1

After solving the inequality 5x - 10 < -5, only value I, which is -1, satisfies the inequality x < 1. Neither 9 nor 1 are solutions because 9 is greater than 1 and the inequality does not include 1 itself.

Step-by-step explanation:

To solve the inequality 5x – 10 < -5, we first isolate the variable x:

Add 10 to both sides of the inequality to get 5x < 5.

Divide both sides by 5 to find that x < 1.

Now let's test the given values to see which are solutions to the inequality:

I. -1: Since -1 is less than 1, it makes -1 a solution.

II. 9: Since 9 is greater than 1, it is not a solution.

III. 1: Since the inequality is strictly less than (<), 1 is not a solution as it is not less than itself.

Only value I, which is -1, is a solution to the inequality. Therefore, the correct answer is I only.