## Intermediate Algebra (6th Edition)

$(6,12)$
$-2 \lt \frac{1}{2}x-5 \lt 1$ Using inequality properties, multiply all parts by 2. $2(-2) \lt 2(\frac{1}{2}x-5) \lt (1) 2$ $-4 \lt 2(\frac{1}{2}x-5) \lt 2$ Using distributive property, $-4 \lt 2(\frac{1}{2}x)-2(5) \lt 2$ $-4 \lt x-10 \lt 2$ Add 10 to all parts, $-4+10 \lt x-10+10 \lt 2+10$ $6 \lt x\lt 12$ Interval Notation: $(6,12)$