Difference between revisions of "005 Sample Final A, Question 5"

Revision as of 15:04, 17 May 2015

Question Solve the following inequality. Your answer should be in interval notation. ${\frac {3x+5}{x+2}}\geq 2$

Step 1:
We start by subtracting 2 from each side to get ${\frac {3x+5}{x+2}}-{\frac {2x+4}{x+2}}={\frac {x+1}{x+2}}\geq 0$

Final Answer:
$(-\infty ,-2)\cup [1,\infty )$

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 |-
 |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;"
+! Final Answer:
+|-
+|<math>(-\infty, -2)\cup[1, \infty)</math>
 |}