Answer:
a) b > 3/2
b) c > 8
c) b > 1 - a/2
d) y > 6 - x/2
Explanation:
a)
a = 2 × (b - 1) - 1 {a > 0}
2 × (b - 1) - 1 > 0
2b - 2 - 1 > 0
2b - 3 > 0
2b > 3
b > 3/2
b)
b = (c + 10) / 3 {b > 6}
(c + 10) / 3 > 6
multiply both side by 3
((c + 10) / 3) × 3 > 6 × 3
c + 10 > 18
c > 18 - 10
c > 8
c)
a = a + 2 × b - 1 {a > 1}
a + 2 × b - 1 > 1
a + 2b - 1 > 1
a + 2b > 1 + 1
2b > 2 - a
divide both sides by 2
2b/2 > 2/2 - a/2
b > 1 - a/2
d)
x = 2 × y + x - 1 {x > 11}
2 × y + x - 1 > 11
2y + x - 1 > 11
2y + x > 11 + 1
2y + x > 12
2y > 12 - x
divide both sides by 2
2y/2 > 12/2 - x/2
y > 6 - x/2
