Problem 75 of 7
Determine whether |x - 5| >= -2 is possible. Explain using the nonnegative meaning of absolute value.
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reason about nonnegative distance.
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Statement must involve a negative comparison value or impossible absolute-value target.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Recall that absolute value is never negative.
2. Compare the nonnegative absolute value to the negative number.
3. Decide whether no values or all values satisfy the statement.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Solving by splitting cases without addressing negative target.