now, in ∆PSR
PR +RS ≥ PS (2) (sum of two sides of a triangle is greater than third side)
add equation (1) and (2)
PR+SR≥PS
+ PQ+QS≥PS
=PR+SR+PQ+QS ≥PS + PS
=PR+PQ+ QR ≥ 2PS
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now, in ∆PSR
PR +RS ≥ PS (2) (sum of two sides of a triangle is greater than third side)
add equation (1) and (2)
PR+SR≥PS
+ PQ+QS≥PS
=PR+SR+PQ+QS ≥PS + PS
=PR+PQ+ QR ≥ 2PS