Find all x belongs to R that satisfy the following inequalities: i)|x|+|x+1|<2 ii)|x^2-1|<_3
i)
a)
x<−1:x<-1:x<−1:
x∈(−32,−1)x\in(-\dfrac{3}{2}, -1)x∈(−23,−1)
b)
−1≤x<0:-1\leq x<0:−1≤x<0:
x∈[−1,0)x\in[-1, 0)x∈[−1,0)
c)
x≥0x\geq 0x≥0
x∈[0,12)x\in[0, \dfrac{1}{2})x∈[0,21)
Answer: (−32,12)(-\dfrac{3}{2}, \dfrac{1}{2})(−23,21)
ii)
Answer: [−2,2][-2, 2][−2,2]
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments