Q. Is (1,7) a solution to this system of inequalities?y≤711x+y<20Choices:(A)yes(B)no
Check Inequality y≤7: First, let's check if the point (1,7) satisfies the inequality y≤7. Substitute 1 for x and 7 for y in y≤7. 7≤7 Since 7 is equal to 7, the inequality holds true.
Check Inequality 11x + y < 20: Next, let's check if the point (1,7) satisfies the inequality 11x + y < 20. Substitute 1 for x and 7 for y in 11x + y < 20. 11(1) + 7 < 20 11 + 7 < 20 (1,7)0 Since (1,7)1 is less than (1,7)2, the inequality holds true.
Solution Verification: Since the point (1,7) satisfies both inequalities y≤7 and 11x + y < 20, it is a solution to the system of inequalities.
More problems from Is (x, y) a solution to the system of linear inequalities?