#1, Clearly not true for x=10
Try C if it's supposed to read
4x^2 <= (4x)^2
because (4x)^2 = 16x^2
#2 A, just as in #1.
(5x)^2 = 25x^2 >= 5x^2
take a look at wolframalpha.com, where you can plot several functions on the same axes. For example,
http://www.wolframalpha.com/input/?i=+plot+y%3D5x^2%2C+y%3D2x^3
Can someone please check my answers? Thanks! :)
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.
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