(1)/(2 √(x) ) \geqslant (1)/(16)

Question

asked Oct 1, 2021 132k views

1 Answer

Furqan Rahamath · Answer 1 · 2021-10-05T21:30:10+0000

Answer:

$0\le x\le 64$

Explanation:

$(1)/(2√(x) ) \geq (1)/(16)$

Using substitution

√(x) = t

$(1)/(2t) \geq (1)/(16)$

Multiply both sides by 2

$(1)/(t) \geq (1)/(8)$

Multiply both sides by
. We can do it because
t > 0

$1 \geq (t)/(8)$

Multiply both sides by 8

$8 \geq t$

As
t=√(x)

$8 \geq √(x)$

So

$x\le 64\cap x\ge 0$

$0\le x\le 64$