We have, 3x−7>5x−1Transferring the term 5x to L.H.S. and the term -7 to R.H.S.3x−5x>−1+7⇒−2x>6Dividing both sides by 2 ,⇒22x<−26⇒x<−3With the help of number line, we can easily look for the numbers less than -3 .
∴ Solution set is (−∞,−3), i.e. all the numbers lying between −∞ and -3 but −∞ and -3 are not included as x<−3.
