Answer:
The solution of the given inequality \(3b+8\geq 14\) is: \([2, \infty)\)
Step-by-step explanation:
Given the inequality equation: \(3b+8\geq 14\)
Subtraction property of equality states that you subtract the same number to both sides of an equation.
Subtract 8 to both sides of an equation.
\(3b+8-8\geq 14-8\)
Simplify:
\(3b\geq 6\)
Division property of equality states that you divide the same number to both sides of an equation.
Divide both sides by 3 we get;
\(\frac{3b}{3} \geq \frac{6}{3}\)
Simplify:
\(b\geq 2\)
therefore, the solution of the given inequality is: \(b\geq 2\) or \([2, \infty)\)
