X -5 is also same as 1- x -1-5A- TrueB- False

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Standard VII

Mathematics

Inverting the Terms of an Inequation

x >5 is also ...

Question

x > 5 is also same as $\frac{1}{x} < \frac{1}{5}$

True

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False

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Solution

The correct option is A
True

The inequality changes when the terms are reciprocated.

x > 5 is also same as $\frac{1}{x} < \frac{1}{5}$

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Similar questions

If $f = \frac{x}{1 + x^{2}} + \frac{1}{3} {(\frac{x}{1 + x^{2}})}^{3} + \frac{1}{5} {(\frac{x}{1 + x^{2}})}^{5} + . . .$ to $\infty$ and $g = x - \frac{2}{3} x^{3} + \frac{1}{5} x^{5} + \frac{1}{7} x^{7} - \frac{2}{9} x^{9} + . . .$ , then $f = d \times g$ . Find 4d.

x - 3 > 5 is same as x > 8 .

Given that x > y; then $\frac{1}{x} < \frac{1}{y}$
State true or false

Q. If

f (x) = x^{2} + \frac{1}{x^{2}} and g (x) = x - \frac{1}{x}, x ϵ R - {- 1, 0, 1}, and h (x) = \frac{f (x)}{g (x)}

then the local minimum value of

h (x)

Q. Given that

x

is a real number satisfying

\frac{5 x^{2} - 26 x + 5}{3 x^{2} - 10 x + 3} < 0

, then

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x > 5 is also same as 1x<15

The correct option is A True The inequality changes when the terms are reciprocated. x > 5 is also same as 1x<15

x > 5 is also same as $\frac{1}{x} < \frac{1}{5}$

The correct option is A
True

The inequality changes when the terms are reciprocated.

x > 5 is also same as $\frac{1}{x} < \frac{1}{5}$