Question

Fie mulimea A={ -2, -3,-√3 , -1, 0, 1, 3, √11}. Precizati elem multimii A care sunt solutii aleinecuatiilor:
a) 2x - 3 ≤ -6
b) 4x - 1 ≤ 2x - 3
c) 2x + 1 ≥ -5x - 6

Answer 1

a) rezulta
2x≤-6+3
2x≤-3
x≤-3/2
x∈(-α,-3/2]
pot fi solutii:-2,-3,-√3

b)rezulta
4x-2x≤1-3
2x≤-2
x≤-2/2
x≤-1
x∈(-α,-1]
pot fi solutii: -2,-3,-√3,-1

c) rezulta
2x+5x≥-6-1
7x≥-7
x≥-7/7
x≥-1
x∈[-1,+α)
pot fi solutii;-1,0,1,3,√11