B, from the pressure P=FS formula, under the same pressure, the greater the s, the smaller the pressure. The contact area between the left finger and the balloon is smaller than that between the right palm and the balloon, so the pressure of the right finger on the balloon is greater than that of the left palm, so B is correct.
C, according to the formula of pressure P=FS, under the same pressure, the greater the s, the smaller the pressure. The contact area between the left finger and the balloon is smaller than that between the right palm and the balloon, so the pressure of the right finger on the balloon is greater than that of the left palm, so C is wrong.
D the pressure inside the gas is related to the temperature, mass and volume of the gas. In this process, the mass and temperature of the gas remain unchanged, while the volume decreases, so the pressure increases. So, d is wrong.
So choose B.