To solve the inequality \( 13 - b < 7 \), follow these steps:
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Subtract 13 from both sides: \[ -b < 7 - 13 \] This simplifies to: \[ -b < -6 \]
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To solve for \( b \), multiply both sides by -1. Remember that when you multiply or divide an inequality by a negative number, you need to reverse the inequality sign: \[ b > 6 \]
So, the solution is: \[ b > 6 \]