Question

Solve the inequality. Graph the solution set and write it in interval notation.
2/5 * x > 5

Write the answer in interval notation.
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Answer 1

To solve the inequality, we need to isolate the variable x.

First, we can begin by multiplying both sides of the inequality by 5/2 (the reciprocal of 2/5) to get rid of the fraction:
(2/5) * (5/2) * x > 5 * (5/2)

This simplifies to:
x > 25/2

To graph the solution set, we start by drawing a number line and marking a closed circle at 25/2 (since the inequality is greater than and not equal to). Then, we draw an arrow to the right to represent all values greater than 25/2. The graph would look like this:

------------------------------------------------->
| o
25/2

In interval notation, the solution set would be (25/2, ∞).