Solve the equation or inequality. Write the solution set to each inequality in interval notation if (a) \( |b|=7 \) (b) \( |b|<7 \) (c) \( |b|>7 \) Part 1 of 3 (a) The solution set is \( \square \)

For the equation \( |b|=7 \), this means that \( b \) can take two values: \( b = 7 \) or \( b = -7 \). Therefore, the solution set is \( \{ -7, 7 \} \). For the inequality \( |b|<7 \), this means \( b \) lies strictly between -7 and 7, not including those endpoints. Hence, in interval notation, the solution set is \( (-7, 7) \). For the inequality \( |b|>7 \), this signifies that \( b \) is either less than -7 or greater than 7, which means it is outside the range of -7 and 7. In interval notation, this gives us the solution set \( (-\infty, -7) \cup (7, \infty) \).