SOLVING SIMPLE SENTENCES BY INSPECTION
by Dr. Carol JVF Burns (website creator)
Follow along with the highlighted text while you listen!
• PRACTICE (online exercises and printable worksheets)
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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:   $x = 5$
Answer: $5$
Question: Solve:   $x \gt 5$
Answer: $\,5.1\,$,   or $\,6\,$,   or $\,1007.4\,$;   any number in the interval $\,(5,\infty)\,$
(You may want to review interval notation.)
Question: Solve:   $\displaystyle\frac{x}{6} = \frac{1}{2}$
Answer: $3$
Question: Solve:   $x + 2 = 9$
Answer: $7$
Master the ideas from this section