Number of elements in the set T=x∣x+5x−7−5=4x−4013−xis
We have, T=x∣x+5x−7−5=4x−4013−x
∴x+5x−7−5=4x−4013−x⇒x+5−5(x−7)x−7=4x−4013−x⇒x+5−5x+35x−7=4x−4013−x⇒−4x+40x−7=4x−4013−x⇒−(4x−40)(13−x)=(4x−40)(x−7)⇒ (4x−40)(x−7+13−x)=0⇒ x−10=0⇒ x=10⇒ T={10}
Hence, number of elements in T is =1