Difference between revisions of "8A F11 Q7"

Revision as of 15:26, 6 April 2015

Question: Solve $2\vert 3x-4\vert -7=7$

Foundations
1) How do we get to the first key step in solving any function involving absolute value equations?
2) How do we solve absolute value equations?
Answer:
1) We isolate everything inside of the absolute value signs.
2) We create two equations based on whether the expression inside the absolute value is positive or negative.
Then we solve both equations.

Solution:

Step 1:
Isolate the absolute values. First by adding 7 to both sides, then dividing both sides by 2.
This leads to $\vert 3x-4\vert =7.$

Step 2:
Now we create two equations: $3x-4=7$ and $3x-4=-7$ .

Step 3:
Now we solve both equations. The first leads to the solution $x={\frac {11}{3}}$ . The second leads to $x=-1$

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-'''Question:''' Solve &nbsp;&nbsp;&nbsp;&nbsp; <math>2\vert 3x-4\vert -7 = 7</math>
+'''Question:''' Solve <math>2\vert 3x-4\vert -7 = 7</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
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 |Now we solve both equations. The first leads to the solution <math>x = \frac{11}{3}</math>. The second leads to <math>x = -1</math>
 |}
+[[8AF11Final|<u>'''Return to Sample Exam</u>''']]