Can someone please check my answers? Thanks! :)

Question

1.) Which of the following inequalities is true for all real values of x?

a.) x^2≤x^3
b.) 2x^3≤4x^2
c.) 4x^2≤94x)^2
d.) 4(x-3)^2≥4x^2-3

My answer: B.

2.) Which of the following inequalities is true for all real values of x?

a.) (5x)^2≥5x^2
b.) x^6≤x^7
c.) 5x^2≥2x^3
d.) 6(x-5)^2≥6x^2-5

My answer: D.

Answer 1

1
a
try x = -1
1 </= -1 nope

b
x = -1 works
but x = 10 fails totally

c
x^2 </= 23.25 x^2
x^2 always +
so this works

by the way d is

4 x^2 -24 x + 36 >/= 4 x^2 - 3

-24 x + 39 >/= 0
nope