Question

Answer 1

a: \(\left(-\dfrac{5}{3}\right)^3< x< \dfrac{-24}{35}\cdot\dfrac{-5}{6}\)

=>\(\dfrac{-125}{27}< x< \dfrac{120}{210}\)

mà x nguyên

nên \(x\in\left\{-4;-3;-2;-1;0\right\}\)

b: \(\left(7x-11\right)^3=\left(-3\right)^2\cdot15+208\)

=>\(\left(7x-11\right)^3=9\cdot15+208=343\)

=>7x-11=7

=>7x=18

=>\(x=\dfrac{18}{7}\)

mà x nguyên

nên \(x\in\varnothing\)