Q. Solve for c.−16<c−14<1Express your answer as a compound inequality with integers.
Isolate c in compound inequality: First, we will isolate c in the compound inequality by adding 14 to all three parts of the inequality.-16 < c - 14 < 1-16 + 14 < c - 14 + 14 < 1 + 14-2 < c < 15
Determine range for c: Now that we have isolated c, we can see that c must be greater than −2 and less than 15. This is already in the form of a compound inequality with integers.
Compare with given choices: We compare our result with the given choices to find the correct one. Our result is -2 < c < 15, which matches choice (B).
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