solve all the problems without explaining them

from sympy import symbols, solve, S, simplify, together, Eq

# Define the symbol
x = symbols('x')

# Inequality 1
ineq1 = (x - 2)/(x**2 - 1) <= 0
sol1 = solve(ineq1, x, domain=S.Reals)

# Inequality 2
ineq2 = (x - 1)/(x**2 - 4) <= 0
sol2 = solve(ineq2, x, domain=S.Reals)

# Inequality 3
ineq3 = (9 - x**2)/(x**2 - 1) >= 0
sol3 = solve(ineq3, x, domain=S.Reals)

# Expression 1
lhs1 = simplify(3*(6 - x**2) - 14*x) / (x**2 - 5*x + 6)
rhs1 = together((3*x - 10)/(x - 3) + 1/(x - 2))
ineq4 = lhs1 - rhs1 <= 0
sol4 = solve(ineq4, x, domain=S.Reals)

# Expression 2
lhs2 = simplify((10 - 3*x)/(x - 3) - 15/(x - 2))
rhs2 = simplify((3*(x**2 + 1) + 21

This page provides solutions to a series of complex rational inequalities and algebraic simplifications. Key concepts include solving inequalities involving rational expressions and simplifying algebraic expressions, suitable for students in Grades 10-12.

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