Question: Solve Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vert 3x - 4\vert = 7.}
|
| Step 2:
|
Now we create two equations: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3x - 4 = 7}
and  .
|
| Step 3:
|
Now we solve both equations. The first leads to the solution  . The second leads to Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x = -1}
|
Return to Sample Exam