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

1 Answer

4 votes

Answer:

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

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