Sign of initial slope of compressibility factor(z) versus P curves is negative if a gas is below its Boyle's temperature and positive if it is above its Boyle's temperature. Explain if its true.

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Sign of initial slope of compressibility factor(z) versus P curves is negative if a gas is below its Boyle's temperature and positive if it is above its Boyle's temperature. At Boyle's temperature, gas shows ideal behaviour and $Z = 1$ and $P V = n R T$ . When the slope is negative, the gas shows negative deviation from ideal behaviour and $Z < 1$ . The gas is more compressible.
When the slope is positive, the gas shows positive deviation from ideal behaviour and $Z > 1$ . The gas is less compressible.

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