Question

solve, $b - 7 geq 18$
correct answer
$b geq 25$, or $25 leq b$

Explanation:

Step1: Add 7 to both sides

To solve the inequality \( b - 7 \geq 18 \), we add 7 to both sides of the inequality. This is based on the addition property of inequalities, which states that if we add the same number to both sides of an inequality, the direction of the inequality remains the same.
\[
b - 7 + 7 \geq 18 + 7
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( b-7 + 7=b \). Simplifying the right - hand side, \(18 + 7 = 25\). So we get \(b\geq25\) (or equivalently \(25\leq b\)).

Answer:

\(b\geq25\) (or \(25\leq b\))