Question

Se consideconsidermie A={x∈R/-3<1-2x<11} si B= { x∈R/ 1/2 mai mic sau egal cu x+2/ 6 mai mic sau egal cu 5/3}

Answer 1

-3 < 1 - 2x
2x < 1 + 3
2x < 4
x < 2

1 - 2x < 11
2x > 1 - 11
2x > -10
x > -10

Deci x∈(-10, 2)
A = (-10, 2)

1/2 ≤ (x + 2)/6
3 ≤ x + 2
x ≥ 3 - 2
x≥ 1

(x + 2)/6 ≤ 5/3
x + 2 ≤ 10
x ≤ 10 - 2
x≤ 8
x∈ [1, 8]
B = [1, 8]