Problem 86 of 7
Solve algebraic triangle inequality constraints for sides 2x, 6, 10.
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set and solve inequalities for side expressions.
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All three triangle inequalities and positive side lengths must be satisfied.
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Solution
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1. Write the three strict triangle inequalities.
2. Solve each inequality for the variable.
3. Intersect the valid ranges.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Only checking the largest-looking side when variable expressions may change.