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1. Fill in the blank with "all", “no", or "some" to make the following statements true. If your answer is “all", explain why. If your answer is “no", give an example and explain. • If your answer is "some", give two examples that demonstrate when the statement is true and when it is false. Explain your examples. \text { real numbers } x,(x+2)^{4}=x^{4}+16 \text { real numbers } x, \sqrt{x^{4}+8 x^{2}+16}=x^{2}+4 \text { real numbers } x \text {, if }(x+2)(x-3)=2 \text {, then } x+2=2 \text { and } x-3=2 \text {. } functions f and g, if f and g are both even functions, then f + g is even. values of k, , and y, if x < y, then kx < ky where k is a constant.

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