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