Since 16 is on the side of the variable, we must operate inversely so that b is in proportion to only one value. The inverse operation of (- 16) is (+ 16). Add 16 to both sides of the equation.
2b - 16 > 12
....+ 16.+ 16
The (- 16 + 16) cancels each other out to 0. (12 + 16 = 28). You are left with:
2b > 28
3.) Division Property of Equality
To obtain b, it must have a coefficient of 1. To get this, we must divide both sides of the equation by its current coefficient: 2.
2b.....28
---- > -----
`2.......2
The (2 / 2) equates to 1, which leaves 1b. 1b = b. You are left with:
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Verified answer
Solve for b in the inequality: 2(b - 8) > 12
1.) Distribute.
2 • b = 2b
2 • (- 8) = (- 16)
2b - 16 > 12
2.) Addition Property of Equality
Since 16 is on the side of the variable, we must operate inversely so that b is in proportion to only one value. The inverse operation of (- 16) is (+ 16). Add 16 to both sides of the equation.
2b - 16 > 12
....+ 16.+ 16
The (- 16 + 16) cancels each other out to 0. (12 + 16 = 28). You are left with:
2b > 28
3.) Division Property of Equality
To obtain b, it must have a coefficient of 1. To get this, we must divide both sides of the equation by its current coefficient: 2.
2b.....28
---- > -----
`2.......2
The (2 / 2) equates to 1, which leaves 1b. 1b = b. You are left with:
b > 14
4.) Finalize.
2(b - 8) > 12, whereas b > 14
2(b – 8) > 12
b - 8 > 6
b > 14
b > 14