Equation or not?

[DrD]

I would like to find a simple way to test whether a provided sentence is an equation or an inequality. Specifically, I need to extract only the equations from a list of relations provided as string objects.

For example:

L0:={"x+y=1","2x+2y<2","3x+3y<=3","4x+4y≤4","5x+5y>5","6x+6y>=6","7x+7y≥7","8x+8y<>8",9x+9y≠9"};
L1:={"=","<","<=","≤",">",">=","≥","<>","≠"};

L0(1) is a desired sentence. (It may be one among many, or located elsewhere in any given list, etc.).

L1 is a list of the relational operators that might show up in a provided list, so ONLY sentences that contain a stand alone "=" must be detected.

Any thoughts on a reasonably concise way to do this?