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