taiwan-gsat 2025 Q1

taiwan-gsat · Other · gsat__math-b 5 marks Modulus function Counting solutions satisfying modulus conditions
A point $P$ on a number line satisfies the condition that the distance from $P$ to 1 plus the distance from $P$ to 4 equals 4. How many such points $P$ are there?
(1) 0
(2) 1
(3) 2
(4) 3
(5) Infinitely many
A point $P$ on a number line satisfies the condition that the distance from $P$ to 1 plus the distance from $P$ to 4 equals 4. How many such points $P$ are there?\\
(1) 0\\
(2) 1\\
(3) 2\\
(4) 3\\
(5) Infinitely many