If a number minus 3 is at most 12, or 1 more than 2 times the number is at least 25, then the number must be less than or equal to 15, or greater than or equal to 12. True or False

The statement is true.

Step-by-step explanation:

Let us assume that x is the required number.

Now, given that the number minus 3 is at most 12.

Hence, x - 3 ≤ 12

⇒ x ≤ 15 ... (1)

And also given that 1 more than 2 times the number is at least 25.

Hence, 2x + 1 ≥ 25

⇒ 2x ≥ 24

⇒ x ≥ 12 ... (2)

Therefore, from equations (1) and (2) we get the number must be greater than or equal to 12 or less than or equal to 15.

So, the statement is true. (Answer)