Question

What is the solution to the inequality x ≤ 12?

a) x ≤ 12
b) x < 12
c) x ≥ 12
d) x > 12

Answer 1

The solution to the inequality x ≤ 12 is represented by option a) x ≤ 12.

Step-by-step explanation:

The solution to the inequality x ≤ 12 is represented by option a) x ≤ 12. This means that any value of x that is less than or equal to 12 will satisfy the inequality.

To understand this, let's consider some examples:

1. If x = 10, then 10 ≤ 12 is true because 10 is less than or equal to 12.
2. If x = 15, then 15 ≤ 12 is false because 15 is greater than 12.
3. If x = 12, then 12 ≤ 12 is true because 12 is equal to 12.

This reaffirms that the solution set a) x ≤ 12 accurately encapsulates values of x conforming to the inequality, clarifying the scope where x remains less than or equal to 12, validating the selected representation for the solution.