The correct option is A True |x| = x if x ≥ 0 = x if x ≤ 0 ⇒ If |x| = x, then x ≤ 0 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Inequalities Involving Modulus Function

If |x|=-x, th...

Question

If |x| = - x, then x ≤ 0

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
True

|x| = x if x ≥ 0

= - x if x ≤ 0

$\Rightarrow$ If |x| = - x, then x ≤ 0

Suggest Corrections

Similar questions

f (x) = | x |

x \neq 0

f^{'} (x) = \frac{| x |}{x}

f (x) = x

x \geq 0

f (x) = - x

x < 0

f (x) = {\begin{matrix} x^{a} cos (1 / x), & i f & x \neq 0 0, & i f & x = 0 \end{matrix}

x = 0

x | x | + 3 | x | - 10 = 0

x =

\sqrt{x + \sqrt{x + \sqrt{x + . . . \infty}}}

x^{2} - | x + 3 | + x = 0

x =

Join BYJU'S Learning Program