Solving Simple Sentences By Inspection
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:
$7$