In this exercise, you will practice solving sentences ‘by inspection’.
That is, you will look at the sentence, stop and think,
and come up with a number that makes the sentence true.
Some sentences have exactly one solution.
Some sentences have many solutions; you will provide only one.
You should do this exercise without using a calculator.
EXAMPLES:
Question:
Solve:
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$x = 5$
Answer:
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$5$
Question:
Solve:
[beautiful math coming... please be patient]
$x \gt 5$
Answer:
[beautiful math coming... please be patient]
$\,5.1\,$, or $\,6\,$, or $\,1007.4\,$;
any number in the interval $\,(5,\infty)\,$
(You may want to review
interval notation.)
Question:
Solve:
[beautiful math coming... please be patient]
$\displaystyle\frac{x}{6} = \frac{1}{2}$
Answer:
$3$
Question:
Solve:
[beautiful math coming... please be patient]
$x + 2 = 9$
Answer:
$7$
Master the ideas from this section
by practicing the exercise at the bottom of this page.
When you're done practicing, move on to:
Using Mathematical Conventions