MathAdmin at 17:50, 2 June 2015

2015-06-02T17:50:49Z

MathAdmin: Created page with "''' Question ''' Solve the following inequality. Your answer should be in interval notation. $\frac{3x+5}{x+2}\ge 2$ {| class="mw-collapsible mw-collapsed" style..."

2015-06-01T01:16:54Z

Created page with "''' Question ''' Solve the following inequality. Your answer should be in interval notation. <math>\frac{3x+5}{x+2}\ge 2</math> {| class="mw-collapsible mw-collapsed" style..."

New page

''' Question ''' Solve the following inequality. Your answer should be in interval notation. <math>\frac{3x+5}{x+2}\ge 2</math>

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 1:
|-
|We start by subtracting 2 from each side to get <math>\frac{3x + 5}{x + 2} - \frac{2x + 4}{x + 2} = \frac{x + 1}{x + 2} \ge 0</math>
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 2:
|-
|<table border="1" cellspacing="0" cellpadding="6" align = "center">
<tr>
<td align = "center"><math> x:</math></td>
<td align = "center"><math> x<-2 </math></td>
<td align = "center"><math> x=-2 </math></td>
<td align = "center"><math> -2<x<-1 </math></td>
<td align = "center"><math> x=-1 </math></td>
<td align = "center"><math>-1<x</math></td>
</tr>
<tr>
<td align = "center"><math> Sign: </math></td>
<td align = "center"><math> (+) </math></td>
<td align = "center"><math> VA </math></td>
<td align = "center"><math> (-) </math></td>
<td align = "center"><math> 0 </math></td>
<td align = "center"><math> (+)</math></td>
</tr>
</table>
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 3:
|-
| Now we just write, in interval notation, the intervals over which the denominator is nonnegative.
|-
| The domain of the function is: <math>(-\infty, -2) \cup [-1, \infty)</math>
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Final Answer:
|-
|<math>(-\infty, -2)\cup[1, \infty)</math>
|}

[[005 Sample Final A|'''<u>Return to Sample Exam</u>''']]

@@ Line 21: / Line 21: @@
    </tr>
    <tr>
-     <td align = "center"><math> Sign: </math></td>
+     <td align = "center"><math>\text{Sign: }</math></td>
      <td align = "center"><math> (+) </math></td>
      <td align = "center"><math> VA </math></td>

005 Sample Final A, Question 5 - Revision history

MathAdmin at 17:50, 2 June 2015

MathAdmin: Created page with "''' Question ''' Solve the following inequality. Your answer should be in interval notation. \frac{3x+5}{x+2}\ge 2 {| class="mw-collapsible mw-collapsed" style..."

MathAdmin: Created page with "''' Question ''' Solve the following inequality. Your answer should be in interval notation. $\frac{3x+5}{x+2}\ge 2$ {| class="mw-collapsible mw-collapsed" style..."