Solving Inequalities using symbolic tool box

When I try to solve simple inequality

let say

the solution is

but matlab is giving wierd answers

syms x

solve(x^2 - 25>0,x)

ans = 

can somone help me, how to fix this issue?

[Torsten]

syms x real
sol = solve(x^2 - 25>0,x,'ReturnConditions',1);

sol = struct with fields:
             x: [2×1 sym]
    parameters: x
    conditions: [2×1 sym]

sol.x(1)

ans = 

x

sol.x(2)

ans = 

x

sol.conditions

ans = 

[Jagadeesh Korukonda]

Thanks @Torsten

Answer 1

[Walter Roberson]

It is common with the symbolic engine that in practice you need to convert inequalities into equalities by introducing a non-negative or a positive "excess" variable -- so if f(x) > y(x) then f(x) - y(x) > 0; let δ quantify how much more so f(x) - y(x) = delta for positive delta. Now you can try to solve() your system for the other variables and you will get back a system of solutions in terms of the quantified-excess variables

[Walter Roberson]

syms x real
syms delta positive
eqn = x^2 - 25 == delta    %amount difference of terms is greater than 0

eqn = 

sol = solve(eqn, x)

sol =