Q:

is 10 a solution to the following inequality? -2 (x-13)-7+5x<0

Accepted Solution

A:
Answer: 10 is NOT a solution  for  -2 (x - 13) - 7 + 5 x <0Step-by-step explanation:Here, the given expression is :  -2 (x - 13) - 7 + 5 x <0To check : If it holds true for x = 10Put x = 10 in the lefts side, we get: -2 (x - 13) - 7 + 5 x  =  -2 ( 10 -13)  - 7 + 5 (10) = -2 (-3)  -7 + 50=  6 - 7  + 50  = -1 + 50= 49⇒ at x  = 10 ,   -2 (x - 13) - 7 + 5 x   = 49  and Right side of the inequality is  0.49 <  0  is a contradiction  , as 49 ≮  ( is not less than)  0Hence, 10 is NOT a solution  for  -2 (x - 13) - 7 + 5 x <0