Tell whether the value of x and y can be the solution of the system of LITV. (SHOW SOLUTION)x = 10 y = 81. y <= - x - 2 .}y >= - 5x + 2
Answer (1)
Answer:Let's check if the values x = 10 and y = 8 satisfy the given system of linear inequalities: 1. y ≤ -x - 2 - Substitute x = 10 and y = 8:8 ≤ -(10) - 28 ≤ -12- This statement is false. 8 is not less than or equal to -12. 2. y ≥ -5x + 2 - Substitute x = 10 and y = 8:8 ≥ -5(10) + 28 ≥ -48- This statement is true. 8 is greater than or equal to -48. Conclusion: Since the first inequality is not satisfied by the values x = 10 and y = 8, the pair (10, 8) is not a solution to the system of linear inequalities. To be a solution, both inequalities must be true when the values are substituted.
