Q. Is (6,8) a solution to this system of inequalities?y<8x+9y≥x+2Choices:(A)yes(B)no
Check Point (6,8): Does the point (6,8) satisfy the inequality y < 8x + 9?Substitute x=6 and y=8 into the inequality y < 8x + 9.8 < 8 \times 6 + 98 < 48 + 98 < 57The point (6,8) satisfies the inequality y < 8x + 9.
Verify Inequality: Does the point (6,8) satisfy the inequality y≥x+2?Substitute x=6 and y=8 into the inequality y≥x+2.8≥6+28≥8The point (6,8) satisfies the inequality y≥x+2.
Solution to System: Is (6,8) a solution to the system of inequalities?Since the point (6,8) satisfies both inequalities y < 8x + 9 and y≥x+2, it is a solution to the system of inequalities.
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