Decide whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly; not all of these have definitive answers, so your explanation is more important than your chosen answer.
The constellation Orion didn’t exist when my grandfather was a child.

Decide whether each of the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

Based on the testimonials of dozens of people who have lost weight following my diet, I will prove to you that my diet works for everyone.

Determine whether the expression makes sense mathematically. If not, explain why. (a) u.(v.w) (b) u.(v + w) (c) ||u.v|| (d) (u.v) - ||u||

Determine whether the statement makes sense or does not make sense, and explain your reasoning. I used a formula to find the sum of the infinite geometric series $3+1+\frac{1}{3}+\frac{1}{9}+\cdots$ and then checked my answer by actually adding all the terms.

Where in the essay does Kamenetz use an analogy? Do you think this analogy makes sense? Explain.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I graphed

$$f ( x ) = \left\{ \begin{array} { l l } { 2 } & { \text { if } } & { x \neq 4 } \\ { 3 } & { \text { if } } & { x = 4 } \end{array} \right.$$

and one piece of my graph is a single point.

Check whether each statement makes sense or does not make sense, and explain your reasoning. I visualize a slope as walking along a line from left to right. If I'm walking uphill, the slope is positive, and if I'm walking downhill, the slope is negative.

In this exercises, determine whether each statement makes sense or does not make sense, and explain your reasoning.

Although I can use an isosceles right triangle to determine the exact value of $\sin \frac{\pi}{4}$, I can also use my calculator to obtain this value.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. There's no end to the number of geometric sequences that I can generate whose first term is 5 if I pick nonzero numbers r and multiply 5 by each value of r repeatedly.

In this exercise, determine whether the given statement makes sense or does not make sense, and explain your reasoning.

I expanded $\log _4 \sqrt{\frac{x}{y}}$ by writing the radical using a rational exponent and then applying the quotient rule, obtaining $\frac{1}{2} \log _4 x-\log _4 y$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I can find the slope of the tangent line to the graph of f(x) at

$$( 3 , f ( 3 ) ) \text { using } \lim _ { h \rightarrow 0 } \frac { f ( 3 + h ) - f ( 3 ) } { h }$$

or finding f'(x) and then replacing x with 3.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. There’s no end to the number of geometric sequences that I can generate whose first term is 5 if I pick nonzero numbers r and multiply 5 by each value of r repeatedly.

Determine whether the statement makes sense or does not make sense, and describe your reasoning. In an inequality such as $5 x+4<8 x-5$, I can avoid division by a negative number depending on which side I collect the variable terms and on which side I collect the constant terms.

Check whether each statement makes sense or does not make sense, and explain your reasoning. When finding the slope of the line passing through $(-1,5)$ and $(2,-3)$, I must let $\left(x_1, y_1\right)$ be $(-1,5)$ and $\left(x_2, y_2\right)$ be $(2,-3)$