To solve the inequality, we need to simplify it first:
y - 1/2 > 1/3
To eliminate the fractions, we can multiply both sides of the inequality by the least common denominator, which is 6:
6(y - 1/2) > 6(1/3)
6y - 3 > 2
Now, we can solve for y:
6y > 2 + 3
6y > 5
y > 5/6
To graph the solution, we represent y on the vertical axis and plot a solid dot at y = 5/6, but due to the inequality symbol ">", we do not shade this point. Finally, we shade the region to the right of the point to represent the values of y that are greater than 5/6.
The graph would look like this:
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--+------------------- y-axis
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12) Solve the inequality and graph: y −
1
2 >
1
3
1 answer