Solve the inequality. Graph the solution set and write it in interval notation.

Question

2/9 * x > 5

Write the answer in interval notation
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(Use integers or fractions for any numbers in the expression)

Answer 1

To solve the inequality, we can start by multiplying both sides by 9/2 to isolate x:

(2/9)(9/2)x > (5)(9/2)
x > 45/2

This means that x must be greater than 45/2.

Now, we can graph the solution set. Since x is greater than 45/2, we would have an open circle at 45/2 and an arrow pointing to the right.

In interval notation, we write the solution set as (45/2, ∞). This indicates that x is greater than 45/2, and there is no specific upper bound.