Question

The number of integral values of x satisfy|x| = |x-3| are
A.0
B.1
C.2
D.3​

Answer 1

Answer:

Answer is B.1

Step-by-step explanation:

$|x| = |x - 3|$

if

$x \geqslant \\ x = x - 3 \\ - 3 = 0$

No solution from here

If

$0 \leqslant x < 3 \\ x = 3 - x \\ 2x = 3 \\ x = \frac{2}{3}$

One solution form here

Now if

$x < 0 \\ - x = 3 - x \\ 0 = 3$

No solution from here as well .

Hence number of solutions is 1