Question

if the replacement set is {3,4,5,6,7},find solution set of the inequation 7-x/2>5x/3-6 solve it ​

Answer 1

Step-by-step explanation:

=> Here, the given replacement set is

{3, 4,5,6,7}

(7 - x/2) > (5x/3 - 4)

=> (14-x) /2 > (5x-12) /3

=> 3(14-x) > 2(5x-12)

=> 42-3x > 10x-24

=> 42+24 > 10x+3x

=> 66 > 13x

=> x < 66/13

∴ Solution set = { x < 66/13 ; x ∈ R }

= { 3≤ x ≤ 5 ; x ∈ R }