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Inequalities, SMB-007 MC

The weight (`w` kilograms) and age (`a` years) of a turtle are related by the following inequality:

\begin{array} {|l|}
\hline
\rule{0pt}{2.5ex}w < 8a-13\ \  \text{for all values of}\ a\ \text{between 1 and 10}\rule[-1ex]{0pt}{0pt} \\
\hline
\end{array}

Which pair of values satisfy this inequality?

  1. `w = 4 and a = 2`
  2. `w = 12 and a = 3`
  3. `w = 18 and a = 4`
  4. `w = 40 and a = 6`
Show Answers Only

`C`

Show Worked Solution

`text(Test each option by trial and error.)`

`text(Consider)\ \ w = 18,\ a = 4,`

`18 < 8 xx 4-13`

`18 < 19\ \ text{(correct)}`
 

`:. w = 18,\ a = 4\ text(satisfies the equation).`

`=>C`

Filed Under: Inequalities Tagged With: num-title-ct-pathb, smc-4385-10-Linear

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