State whether the given statement is true or false:

If$\mathrm{x}$ and $\mathrm{y}$ are in direct proportion, then $(\mathrm{x}-1)$ and $(\mathrm{y}-1)$ are also in direct proportion.

State whether the given statement is true or false:

If $\mathrm{x}$ and $\mathrm{y}$ are in inverse proportion, then $(\mathrm{x}+1)$ and $(\mathrm{y}+1)$ are also in inverse proportion.

State whether the given statement is true or false:

If $\mathrm{p}$ and $\mathrm{q}$ are in inverse variation then $(\mathrm{p}+2)$ and $(\mathrm{q}-2)$ are also in inverse proportion.

State whether the given statement is true or false:

If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other.

State whether the given statement is true or false:

When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly.

State whether the given statement is true or false:

When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.

State whether the given statement is true or false:

If $\mathrm{x}$ varies inversely as $\mathrm{y}$ and when $\mathrm{x}=6, \mathrm{y}=8,$ then for $\mathrm{x}=8$ the value of $\mathrm{y}$ is $10$

State whether the given statement is true or false:

The number of workers and the time to complete a job is a case of direct proportion.

State whether the given statement is true or false:

For fixed time period and rate of interest, the simple interest is directly proportional to the principal.