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

10 is NOT a solution  for  -2 (x - 13) - 7 + 5 x <0

Step-by-step explanation:

Here, the given expression is :  -2 (x - 13) - 7 + 5 x <0

To check : If it holds true for x = 10

Put 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)  0

Hence, 10 is NOT a solution  for  -2 (x - 13) - 7 + 5 x <0

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step-by-step explanation: