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-\frac{1}{2}b+3\leq -1
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.
-\frac{1}{2}b\leq -1-3
Subtract 3 from both sides.
-\frac{1}{2}b\leq -4
Subtract 3 from -1 to get -4.
b\geq -4\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}. Since -\frac{1}{2} is negative, the inequality direction is changed.
b\geq 8
Multiply -4 and -2 to get 8.