Problema Solution
Ko is testing a range of numbers to see which solve the inequality y2 – 6y > 17.
When he substitutes y = 8, the LHS = 16
When he substitutes y = 9, the LHS = 27
If he were to represent these findings roughly in a number line graph, the correct graph would be:
Answer provided by our tutors
The range of numbers can be solved for 'y':
y = {8.099, -2.099}
Since the problem states that y=8 resolves to 16 and y=9 resolves to 27, then the graph should substitute '17' with 'x' and the limits for 'y' can be overlayed:
y^2 - 6y > x
y=8.099
y=-2.099
...the composite graph shows the range over which 'y', roughly, can be valid:
