To solve this inequality, we will first simplify the equation on the right side:
(1/512)^2 - 1/3= (1/262144) - 1/3= 1/262144 - 87382/262144= (1-87382x)/262144
Now we can rewrite the inequality as:
2V1/32 >= (1-87382x)/262144
To remove the denominators, we can multiply both sides of the inequality by 32 and 262144:
32 2V1/32 >= 32 (1-87382x)/2621464 >= (32 - 87382x)/262144
Multiplying both sides by 262144 to remove the denominator:
262144 * 64 >= 32 - 8738216777216 >= 32 - 8738216777216 - 32 >= -8738216777184 >= -87382x
Dividing by -87382 (and flipping the inequality sign since we are dividing by a negative number):
x <= -16777184/87382
Therefore, the solution to the inequality 2V1/32 >= (1/512)^2-1/3x is x <= -192.007968.
To solve this inequality, we will first simplify the equation on the right side:
(1/512)^2 - 1/3
= (1/262144) - 1/3
= 1/262144 - 87382/262144
= (1-87382x)/262144
Now we can rewrite the inequality as:
2V1/32 >= (1-87382x)/262144
To remove the denominators, we can multiply both sides of the inequality by 32 and 262144:
32 2V1/32 >= 32 (1-87382x)/26214
64 >= (32 - 87382x)/262144
Multiplying both sides by 262144 to remove the denominator:
262144 * 64 >= 32 - 87382
16777216 >= 32 - 87382
16777216 - 32 >= -87382
16777184 >= -87382x
Dividing by -87382 (and flipping the inequality sign since we are dividing by a negative number):
x <= -16777184/87382
Therefore, the solution to the inequality 2V1/32 >= (1/512)^2-1/3x is x <= -192.007968.